Percentage Increase Calculator
Calculate the new value after a percentage increase. Enter the original value and percentage to add — the calculator shows how to find the multiplier and apply it, with full step-by-step working.
After 15% increase
230
How it works
Find the multiplier
A 15% increase uses a multiplier of 1.15. Adding 1 means you keep the original plus the extra 15%.
Result:1.15Multiply by the original value
Multiply 200 by 1.15 to find the new value.
Result:230Check: the increase amount
The actual increase is 30, which is 15% of 200.
Result:+30
The formula
Example substitution
A 15% increase: multiply by 1.15. Original 200 becomes 230.
Worked examples
A salary of £30,000 increases by 10%. What is the new salary?
- 1Multiplier: 1 + 10/100 = 1.1
- 2Multiply: 30000 × 1.1 = 33000
A price of £80 increases by 25%. What is the new price?
- 1Multiplier: 1 + 25/100 = 1.25
- 2Multiply: 80 × 1.25 = 100
A population of 200,000 grows by 5%. Find the new population.
- 1Multiplier: 1.05
- 2Multiply: 200000 × 1.05 = 210000
Frequently asked questions
How do you calculate a percentage increase?+
Multiply the original value by (1 + percentage/100). E.g., increase £50 by 20%: 50 × 1.20 = £60.
What multiplier gives a 25% increase?+
1.25 — multiply by 1.25 to increase by 25%.
How do you increase a price by VAT (20%)?+
Multiply the price by 1.20. E.g., £80 + 20% VAT = 80 × 1.20 = £96.
How is percentage increase different from percentage change?+
Percentage increase specifically describes a rise. Percentage change covers both increases and decreases.