# Percent

#### harpazo

##### Pure Mathematics
What percent of 20 is 400?

#### Jason

##### Well-known member
@MarkFL wouldn't this be better phrased "What percent of 400 is 20?"

It could also be said "What percent is 20 out of 400?", right?

Basically, the "of" word is out of place.

#### MarkFL

##### La Villa Strangiato
Math Helper
The problem is worded fine, but the solution given is wrong...I would write:

$$\displaystyle \frac{x}{100}\cdot20=400$$

$$\displaystyle \frac{x}{100}=20$$

$$\displaystyle x=2000$$

And so we conclude that 400 is 2000% of 20.

#### Jason

##### Well-known member
The problem is worded fine, but the solution given is wrong...I would write:

$$\displaystyle \frac{x}{100}\cdot20=400$$

$$\displaystyle \frac{x}{100}=20$$

$$\displaystyle x=2000$$

And so we conclude that 400 is 2000% of 20.
The problem - lol - is that 400 can't fit into 20. It's a weird question.