flag English What is the percentage change from 150 to 135 (-10%)? A detailed explanation of different methods

What is the percentage increase or decrease

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e.g., Enter the original value and the new value to calculate the percentage increase or decrease.

Standard calculation methods

1
Direct percentage change formula
(135 − 150) ÷ 150 × 100 = -10%

Starting from 150 and ending at 135, the difference is -15. Dividing this difference by the original value 150 and multiplying by 100 gives a percentage change of -10%.

2
Calculate the difference first
135 − 150 = -15
-15 ÷ 150 × 100 = -10%

First find the difference between 135 and 150, which is -15. Then divide -15 by the original value 150 and multiply by 100 to get -10%.

Ratio and multiplier methods

3
Ratio-based calculation
135 ÷ 150 = 0.9
(0.9 − 1) × 100 = -10%

Dividing 135 by 150 gives a ratio of 0.9. Subtracting 1 and multiplying by 100 converts this ratio into a percentage change of -10%.

4
Multiplier interpretation
135 = 150 × (1 + p/100)
p = (135 ÷ 150 − 1) × 100 = -10%

The final value 135 can be expressed as the original value 150 multiplied by (1 + p/100). Solving this equation results in a percentage change of -10%.

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