Introduction

Welcome back to Percent Foundations for Everyday Life! We are now on Lesson 7 of 8, so the finish line for this course is just around the corner. In the previous lesson, we learned how to find a part when we already knew the whole and the percent. Today, we flip that question around: given a part and a whole, what percent is the part of the whole?

This skill comes up constantly in daily life. Think about a quiz score (we got 18 out of 25 correct — what percent is that?), a survey result, or a budget review. By the end of this lesson, we will have a reliable method for answering any "what percent?" question, including cases where the answer turns out to be surprisingly small or larger than 100%100\%.

Turning the Problem Around

In Lesson 6, our core formula looked like this:

Part=Percent100×Whole\text{Part} = \frac{\text{Percent}}{100} \times \text{Whole}
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