Question 1

How do I calculate what percentage X is of Y?

Accepted Answer

Divide X by Y and multiply by 100. For example, 45 out of 200 = (45 ÷ 200) × 100 = 22.5%. This tells you X represents 22.5% of Y.

Question 2

How do I calculate percentage change?

Accepted Answer

Percentage change = ((new value − old value) ÷ |old value|) × 100. A positive result is an increase; a negative result is a decrease. For example, going from 80 to 100 is a 25% increase.

Question 3

What does X% of Y mean?

Accepted Answer

X% of Y means (X ÷ 100) × Y. So 15% of 80 = 0.15 × 80 = 12. Use this to find discounts, tips, tax amounts, or any proportional quantity.

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