Percentage-Change Calculations Flashcards

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Note: We may include questions that have multiple correct answers. It's useful to remember specific examples to understand these concepts better.

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What does percentage change measure?

It shows how much a value goes up or down compared with the original value, as a percent.

What is the formula for percentage change?

Percentage change = (new value – old value) ÷ old value × 100%.

How do you find the percentage increase from £50 to £60?

Change = 60 – 50 = 10. Divide by original: 10 ÷ 50 = 0.2. Multiply by 100 = 20%. It is a 20% increase.

How do you find the percentage decrease from £80 to £60?

Change = 60 – 80 = -20. Divide by original: -20 ÷ 80 = -0.25. Multiply by 100 = -25%. It is a 25% decrease.

In percentage change, which value do you divide by?

Always divide by the original (old) value.

What does a negative percentage change tell you?

The value fell. For example, -12% means a 12% decrease.

What is the difference between a percentage point change and a percent change?

A percentage point change is the simple change between two rates (5% to 6% is +1 percentage point). Percent change shows how big that is relative to the original: (6 – 5) ÷ 5 × 100 = 20%.

What is absolute change and how is it different from percentage change?

Absolute change is the raw difference (new – old). Percentage change is that difference divided by the original, then × 100 to make a percent.

If a price rises by 10% then falls by 10%, does it return to the start?

No. Start £100. After +10% it is £110. After -10% it is £99. It ends 1% lower.

How do you find a new value after a percentage increase?

Use a multiplier. New value = original × (1 + percent ÷ 100). Example: £120 × 1.15 = £138.

How do you find the original value before a percentage increase?

Divide by the multiplier. Original = new ÷ (1 + percent ÷ 100). Example: £75 ÷ 1.25 = £60.

How should you round a percentage change if no rule is given?

Give 1 decimal place. For example, 12.64% rounds to 12.6%.