Calculate percentages in multiple ways
Calculate percentages easily: find X% of Y, what percentage X is of Y, and percentage increase/decrease. Free, instant, no signup. This tool runs entirely in your browser — no data is sent to any server. It's fast, free, and works on any device.
Percentage calculations are everywhere: discounts, tips, taxes, grades, statistics, and financial analysis. Despite being fundamental math, people frequently struggle with percentage problems. This calculator handles all common types: 'What is 15% of 200?' (30), 'What percentage of 200 is 30?' (15%), '% change from 200 to 230?' (15% increase), and 'If 30 is 15% of what number?' (200). It shows the formula used for each calculation, making it educational as well as practical. Quick mental math tip: X% of Y = Y% of X (e.g., 8% of 25 = 25% of 8 = 2).
((New - Old) / Old) × 100. If something went from 200 to 250: (50/200) × 100 = 25% increase. For decrease, the result is negative.
If a rate goes from 10% to 15%, that's a 5 percentage point increase but a 50% increase. 'Percentage points' = absolute difference between percentages. 'Percent change' = relative change. The distinction matters in finance and statistics.
If $60 is 80% of the original: $60 ÷ 0.80 = $75. If a $75 item was discounted 20%: $75 was the original. Formula: result ÷ (percentage / 100) = original.
Because X% of Y = (X/100) × Y = (X × Y) / 100 = (Y/100) × X = Y% of X. This trick makes mental math easier: 4% of 75 = 75% of 4 = 3. Much simpler!
Multiply by (1 + tax/100). $50 + 8% tax: $50 × 1.08 = $54. To find the pre-tax price from a total: $54 ÷ 1.08 = $50.