Calculate percentages, percentage changes, increases and discounts, with the formula shown for every result
Formula: (X ÷ 100) × Y = ?
Result
?
Enter both values to see the result
Tip
15% of 50 = 7.50
20% of 50 = 10.00
Discount
100 − 25% = 75
100 − 50% = 50
Growth
1,000 + 10% = 1,100
1,000 + 50% = 1,500
Change
80 → 100 = +25%
100 → 80 = −20%
Get instant explanations of why any stock moved today. Free forever.
Explore more calculators
Practical notes on SIPs, loans, tax and markets. No tips to buy or sell. Unsubscribe anytime.
6 questions answered
Divide the percentage by 100 and multiply by the number: X% of Y = (X ÷ 100) × Y. For example, 15% of 200 = 0.15 × 200 = 30.
Divide the part by the whole and multiply by 100: (part ÷ whole) × 100. For example, 45 out of 60 is (45 ÷ 60) × 100 = 75%. The whole cannot be zero.
Percentage change = ((new value − old value) ÷ old value) × 100. Going from 80 to 100 is a +25% change, while going from 100 to 80 is a −20% change. The results differ because the starting value (the base) is different in each case.
No. 100 increased by 20% is 120, and 120 decreased by 20% is 96, a net fall of 4%. Because the second change is applied to a larger base, recovering from a 20% fall actually needs a 25% rise.
A percentage point is the simple difference between two percentages, while a percentage change is relative. If a rate moves from 4% to 5%, it has risen by 1 percentage point, which is a 25% increase relative to the original 4%.
Divide by (1 + rate ÷ 100) instead of subtracting the percentage. A price of 118 that includes 18% tax has a pre-tax value of 118 ÷ 1.18 = 100. Subtracting 18% from 118 would give 96.76, which is wrong because the 18% was calculated on 100, not on 118.
Free for blogs and websites. Paste this code where you want the calculator to appear. The embedded calculator shows no ads.
