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Percentage calculations show up constantly in modern life, yet many people pull out a calculator and still get the formula wrong. Understanding the three core percentage operations — and knowing which one to use when — is one of the most practically useful bits of arithmetic you can master.
If the repo rate goes from 6% to 6.5%, it increased by 0.5 percentage points — but by 8.33% in relative terms (0.5 ÷ 6 × 100). Journalists and economists are careful to say "50 basis points" or "0.5 percentage points" rather than "0.5%" to avoid this ambiguity. In casual conversation, this distinction is often ignored, which causes real misunderstandings in finance and policy discussions.
CBSE and most boards express marks as a percentage. A student scoring 432/600 has a percentage of 72%. For university admissions, many colleges require a minimum percentage (e.g., 60% in PCB for MBBS). Note that CGPA-to-percentage conversion varies by board — CBSE uses CGPA × 9.5, while some universities use their own multipliers.
Multiply the number by 0.20 (or 20/100). For example, 20% of 500 = 500 × 0.20 = 100. Or use Section 1 of this calculator: enter 20 in the percentage field and 500 in the number field.
Percentage increase = ((New Value − Old Value) ÷ Old Value) × 100. For example, if a price goes from 200 to 250, the increase = ((250−200) ÷ 200) × 100 = 25%. Use Section 3 of this tool for instant results.
Discounted price = Original price × (1 − discount% / 100). For a 30% discount on ₹800: 800 × 0.70 = ₹560. Use Section 4 of this calculator — enter the price and percentage, then read the 'After subtracting %' result.
If the final price includes a percentage increase, divide the final price by (1 + rate/100). For example, if ₹1,200 includes 20% tax: original = 1200 ÷ 1.20 = ₹1,000. Use Section 5 (Reverse Percentage) for this.
Percentage is a ratio expressed out of 100 (e.g. you scored 75%). Percentile indicates what percentage of the group scored below you (e.g. 90th percentile means you scored higher than 90% of people). They are different concepts.