# PercentagesCalculators > Fast, 100% accurate percentage calculators with full worked mathematical steps, decimal precision, and zero floating-point rounding errors. PercentagesCalculators provides 26 verified calculators for mathematics, personal finance, academic grading, sports statistics, and digital business metrics. Every calculator provides full worked steps, fraction conversions, and decimal precision arithmetic. ## Core Mathematics - [Percentage Calculator](https://www.percentagescalculators.com): Calculate percentages with exact decimal arithmetic. Find what is P% of X, X is what % of Y, and percentage change with full step-by-step mathematical proof. (Formula: P% × X = (P × X) / 100) - [Percentage Change Calculator](https://www.percentagescalculators.com/percentage-change-calculator): Calculate percentage change, percent increase, and percent decrease between two numbers. Includes negative values, worked steps, and exact decimal formulas. (Formula: ((New − Old) / |Old|) × 100) - [Percentage Difference Calculator](https://www.percentagescalculators.com/percentage-difference-calculator): Calculate the percent difference between two numbers compared against their average. Includes step-by-step math, absolute difference, and verified formulas. (Formula: (|A − B| / ((A + B) / 2)) × 100) - [Percentage of a Percentage Calculator](https://www.percentagescalculators.com/percentage-of-a-percentage-calculator): Calculate what percent one percentage is of another percentage (compound percentages) with exact decimal precision, worked breakdown steps, and zero errors. (Formula: (P1 × P2) / 100) - [Reverse Percentage Calculator](https://www.percentagescalculators.com/reverse-percentage-calculator): Find the original price or value before a percentage discount, sales tax, or price increase. Includes reverse percentage formulas and step-by-step math. (Formula: Original = (Value × 100) / P or Value / (1 ± Rate/100)) - [Add or Subtract Percentage Calculator](https://www.percentagescalculators.com/add-subtract-percentage-calculator): Add or subtract a percentage from any number. Perfect for quick retail markups, tips, discounts, and sales tax with decimal exactness and full worked steps. (Formula: Total = X × (1 ± P / 100)) - [Percentage Points Calculator](https://www.percentagescalculators.com/percentage-points-calculator): Calculate percentage points (pp) difference versus relative percentage change between two rates, interest rates, or polling data with exact decimal steps. (Formula: Points = P2 − P1 (pp); Relative = ((P2 − P1) / |P1|) × 100) - [Fraction, Decimal & Percent Converter](https://www.percentagescalculators.com/fraction-decimal-percent-converter): Convert fractions to percentages and decimals with step-by-step reduction steps, repeating decimal detection, and 100% exact arbitrary decimal arithmetic. (Formula: Percent = (Numerator / Denominator) × 100) - [Percentage Table Calculator](https://www.percentagescalculators.com/percentage-table): Generate an interactive percentage chart and reference table for any base number from 1% to 100% with downloadable values, decimal precision, and step math. (Formula: Row(P) = (P × Base) / 100) - [Percentage Split Calculator](https://www.percentagescalculators.com/percentage-split-calculator): Split money, costs, or equity by 60/40, 70/30, 50/50, or custom ratios. Uses the largest-remainder method so shares sum exactly to total without rounding gap. (Formula: Share(i) = Total × (Ratio_i / Sum_Ratios) with Largest Remainder) - [Percent Error Calculator](https://www.percentagescalculators.com/percent-error-calculator): Calculate percent error between experimental observed values and theoretical true values for chemistry, physics, and science labs with worked formula steps. (Formula: (|Experimental − Theoretical| / |Theoretical|) × 100) ## Money & Shopping - [Discount Calculator](https://www.percentagescalculators.com/discount-calculator): Calculate the discounted sale price, total money saved, and stacked extra percent-off coupons with exact decimal arithmetic, sales tax, and full step math. (Formula: Savings = Price × (Discount / 100); Sale Price = Price − Savings) - [Sales Tax Calculator](https://www.percentagescalculators.com/sales-tax-calculator): Calculate exact sales tax amount and total checkout price, or reverse calculate pre-tax price from a tax-inclusive total with step-by-step decimal arithmetic. (Formula: Tax = Price × (Rate / 100); Total = Price + Tax) - [VAT Calculator](https://www.percentagescalculators.com/vat-calculator): Add or remove VAT (Value Added Tax) to calculate net and gross prices. Supports standard UK 20%, EU rates, and custom VAT percentages with exact decimal steps. (Formula: Gross = Net × (1 + VAT/100); Net = Gross / (1 + VAT/100)) - [Tip Calculator](https://www.percentagescalculators.com/tip): Calculate restaurant tip amounts and split the bill evenly per person. Includes custom tip rates (15%, 18%, 20%), tax inclusion, and exact cent-perfect math. (Formula: Tip = Bill × (Tip% / 100); Per Person = (Bill + Tip) / People) - [Markup vs Margin Calculator](https://www.percentagescalculators.com/markup-margin-calculator): Convert between markup percentage and profit margin percentage. Calculate selling price, cost, and gross profit dollars with exact decimal steps and formulas. (Formula: Margin = Markup / (1 + Markup); Markup = Margin / (1 − Margin)) - [Commission Calculator](https://www.percentagescalculators.com/commission-calculator): Calculate sales commission pay, effective earnings, and total compensation from revenue, commission rates, and base salary with verified decimal steps. (Formula: Commission = Revenue × (Rate / 100)) - [Salary Increase Calculator](https://www.percentagescalculators.com/salary-increase-calculator): Calculate your new salary, annual pay raise amount, and hourly wage increase from a percentage raise with step-by-step arithmetic and tax estimate details. (Formula: New Salary = Current Salary × (1 + Raise% / 100)) ## School & Grades - [Grade Percentage Calculator](https://www.percentagescalculators.com/grades): Calculate your test, quiz, or assignment grade percentage from points earned and total points. Includes standard letter grade scales and GPA step breakdowns. (Formula: Grade (%) = (Points Earned / Total Points) × 100) - [Final Grade Calculator](https://www.percentagescalculators.com/what-grade-calculator): Calculate what score you need on your final exam to pass or earn your target grade. Factors in your current class grade, exam weight, and grading scale. (Formula: Needed = (Target − Current × (1 − Weight)) / Weight) - [Class Attendance Calculator](https://www.percentagescalculators.com/class-attendance-calculator): Calculate your current attendance percentage and see how many classes you can afford to miss while remaining above the required minimum threshold smoothly. (Formula: Rate (%) = (Attended / Total Classes) × 100) ## Sports & Fitness - [Winning Percentage Calculator](https://www.percentagescalculators.com/winning-percentage-calculator): Calculate team win percentage with wins, losses, and ties (half-win credit) according to standard NFL, MLB, NBA, and NHL standings rules and exact formulas. (Formula: Win% = (Wins + 0.5 × Ties) / (Wins + Losses + Ties) × 100) - [Field Goal Percentage Calculator](https://www.percentagescalculators.com/field-goal-percentage-calculator): Calculate basketball field goal percentage (FG%) and effective field goal percentage (eFG%) from shots made, attempted, and 3-pointers with verified steps. (Formula: FG% = (FGM / FGA) × 100; eFG% = (FGM + 0.5 × 3PM) / FGA × 100) ## Business & Growth - [Conversion Rate Calculator](https://www.percentagescalculators.com/conversion-rate-calculator): Calculate website and sales funnel conversion rate from total visitors and conversions with exact decimal percentage steps and confidence intervals guide. (Formula: CR (%) = (Conversions / Total Visitors) × 100) - [CTR Calculator (Click-Through Rate)](https://www.percentagescalculators.com/ctr-calculator): Calculate digital advertising click-through rate (CTR) from total clicks and ad impressions with exact decimal arithmetic and marketing benchmark guidance. (Formula: CTR (%) = (Clicks / Impressions) × 100) - [Churn Rate Calculator](https://www.percentagescalculators.com/churn-rate-calculator): Calculate SaaS customer churn rate percentage over any period from beginning customers and lost customers with clear steps and annual retention projections. (Formula: Churn (%) = (Lost Customers / Start Customers) × 100) - [Customer Retention Rate Calculator](https://www.percentagescalculators.com/retention-rate-calculator): Calculate customer retention rate (CRR) formula ((End − New) / Start) × 100 with step-by-step arithmetic, cohort analysis guidance, and churn metrics math. (Formula: CRR (%) = ((End Customers − New Customers) / Start Customers) × 100) - [Engagement Rate Calculator](https://www.percentagescalculators.com/engagement-rate-calculator): Calculate social media engagement rate by followers or impressions from total interactions (likes, comments, shares, saves) with exact formulas and steps. (Formula: ER (%) = (Total Engagements / Reach or Followers) × 100) ## International Language Hubs - [English (Default)](https://www.percentagescalculators.com/) - [Español (Spanish)](https://www.percentagescalculators.com/es) - [Português (Brazil)](https://www.percentagescalculators.com/pt-br) - [Deutsch (German)](https://www.percentagescalculators.com/de) - [Français (French)](https://www.percentagescalculators.com/fr) ## Methodology & Sitemaps - [How We Verify](https://www.percentagescalculators.com/how-we-verify): Verification methodology and precision tests. - [About Us](https://www.percentagescalculators.com/about): Overview of mathematical standards and mission. - [HTML Sitemap](https://www.percentagescalculators.com/sitemap): Visual directory of all calculators. - [XML Sitemap](https://www.percentagescalculators.com/sitemap.xml): Machine-readable XML sitemap index with hreflang. - [Text Sitemap](https://www.percentagescalculators.com/sitemap.txt): Plain text URL list of all pages.