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## Comment on

Working with Percent## Should we learn both ways or

## Make sure you are familiar

Make sure you are familiar with all of the ways to express percents.

## I am having a lot of trouble

## Keep working on it.

Keep working on it.

There are lots of practice questions at the bottom of https://www.gmatprepnow.com/module/gmat-arithmetic/video/1073, https://www.gmatprepnow.com/module/gmat-arithmetic/video/1074 and https://www.gmatprepnow.com/module/gmat-arithmetic/video/1076 to reinforce your learning.

## For the Townville question. I

## Your approach is perfect! In

Your approach is perfect! In fact, later in the module, we discuss this exact same approach.

For others reading this, here's what kingerikclusters did:

Take: 120/800

Divide top and bottom by 8 to get the EQUIVALENT fraction 15/100, which equals 15% (done!)

This is the fastest/easiest approach, whereas some (many) students will resort to long division to calculate 120 ÷ 800 = 0.15, which equals 15%

Nice work!

Cheers,

Brent

## Hi Brent,

I did not understand the second part of this answer. Grateful for more clarifiactions please.

If x is 8/3 percent of y, y is what percent of x?

A. 3/8

B. 37.5

C. 375

D. 3,750

E. 3.75

x is 8/3 percent of y

Let's plug in some nice values for x and y that satisfy the above conditions.

We know that 8/3 is 8/3 percent of 100.

So, x = 8/3 and y = 100 works

y is what percent of x?

In other words, 100 is what percent of 8/3?

Rewrite as 100 is what percent of 2 2/3?

Well, 100 is about 40 TIMES 2 2/3

If we express 40 as a percent we get 4000%

So, our answer will be close to 4000

## Question link: https://www

Question link: https://www.beatthegmat.com/if-x-is-8-3-percent-of-y-y-is-what-percent-o...

Here's another way to look at it.

We can see that 8/3 and y = 100 satisfies the condition that x is 8/3 percent of y.

The question asks "y is what percent of x?"

In other words, "100 is what percent of 8/3?"

Or we can ask "100 is what percent of 2.7?" (since 8/3 ≈ 2.7)

Well, we know that 2.7 is 100% of 2.7

So, 27 is 1,000% of 2.7

And 270 is 10,000% of 2.7

Since 100 lies between 27 and 270, we know that the correct answer is between 1,000% and 10,000%

Answer: D

Does that help?

Cheers,

Brent

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