8 is what percent of 5? Plz help

1 Answer
Mar 7, 2018

8 is 160% of 5.

Explanation:

Let's see if we can "translate" this sentence into numbers that we can work with. The 8 is going to stay the same because it's already a number. "Is" indicates an equal sign. "What percent" is something we don't know, so let's go ahead and call it \fracx 100 because we know it's a percent. And lastly, 5 is going to stay the same because it is also already a number.

That gives us the following equation:
8 = \fracx 100 \times 5.

To solve for x, we divide both sides by 5 so we can start to isolate x:
\frac 8 5 = \fracx 100.

As a decimal, \frac8 5 is 1.6, so we can write this:
1.6 = \fracx 100.

To finish isolating x, we multiply both sides by 100:
160 = x.

And there you have it; 8 is 160% of 5.