I want to learn how to find a percent given a whole

Welcome! I'm excited to help you master percentages today.

Before we dive in, I'd love to know a little bit about what you're working on so I can make this as useful as possible for you. To help me tailor this session, what is your current math grade level or context, and why are you working on finding percentages today?

I'm in middle school and studying for an upcoming math test.

Awesome! Studying for a middle school math test is the perfect time to get really comfortable with these concepts. Let's make sure you ace it!

Your path

Converting Division to Percent Value

Step-by-Step Practice Problem Solving

Review and Practice Quiz

What Exactly is a Percent?

To kick things off, let's look at what the word percent actually means. If you break it down, "per" means "for each" and "cent" means "one hundred" (just like there are 100 cents in a dollar). So, literally means out of 100. Imagine you have a big grid made of 100 tiny squares. If you paint 25 of those squares blue, you've painted 25% of the grid. If you paint half of them (50 squares), you've painted 50%. It's just a standardized way to compare parts to a total!

A 10-by-10 grid showing 25 colored squares out of 100 total squares.

I've set up a quick interactive grid visualization above so you can see how 10%, 25%, and 50% look when we think of them as blocks out of a 100-square whole.

But what if we don't have exactly 100 things? That's where we have to learn to spot the part and the whole.

whole

noun

The total amount, entire quantity, or complete set of something.

The is always the total amount we are starting with, while the part is the portion or subset of that total we are focusing on. For example, if you eat 3 slices of an 8-slice pizza, the part is 3 and the whole is 8. Does the distinction between the part and the whole make sense so far?

Yes, makes sense! Let's continue to identifying part vs whole in word problems.

It's awesome to see you're ready to jump into word problems!

Spotting the Part and the Whole

When you're reading a word problem, the hardest step is often figuring out which number is the and which is the whole. Fortunately, English has some secret clues we can look out for. Two of the biggest clue words are is and of:

"Of" almost always introduces the whole (the total we compare things to).
"Is" almost always links to the part (the piece we are measuring).

Let's test this clue with a quick scenario.

Imagine a survey says: "Out of 50 students, 12 said their favorite season is winter."

Which number represents the whole in this scenario?