A fruit yoghurt contains 11% sugar

Question

A fruit yoghurt contains 11% sugar. The effect is to reduce the sugar content by 5%. On the new packaging, the manufacturer wants to draw attention to the lower sugar content and wants to write how many percent the sugar content has been reduced.

By how many percent was the sugar content reduced?

Answer 1

Let say your yogurt is 100 grams in total. 11% sugar means that you have 89 grams of yogurt with 11 grams of sugar. Reducing the sugar content by 5% means you only want 6% sugar, which is 6 grams of sugar with 94 grams of yogurt. A reduction from 11 grams to 6 grams is 5/11 * 100%, which is 45.45% reduction in sugar.