y percent of x

Here's the original question in its entirety.

If m > 0 and x is m percent of y, then, in terms of m, y is what percent of x?

A. 100m
B. 1/(100m)
C. 1/m
D. 10/m
E. 10000/m

Another approach is to plug in some numbers that meet the given condition.

x is m percent of y
How about 10 is 25 percent of 40
So, x = 10, m = 25 and y = 40
Great, so these values satisfy the given condition. Now onto . . .

in terms of m, y is what percent of x?
In other words, 40 is what percent of 10?
Well, 40 is 400 percent of 10

So, we need an answer choice that yields an output of 400, when m = 25. Let's plug 25 in for m . . .

A. 100(25) = 2500 NOPE
B. 1/[100(25)] = 1/2500 NOPE
C. 1/25 = 1/25 NOPE
D. 10/25 = 2/5 NOPE
E. 10000/25 = 400 BINGO!

Answer: E

Try plugging in your own set of values that meet the given condition.

Cheers,
Brent

Sak32 wrote:If m>0 and x is m percent of y, then, in terms of m, y is what percent of x?

The answer is 10000/m.

How did we obtain this answer?

181) If m > 0 and x is m percent of y, then, in terms of m, y is what percent of x?

A. 100m

B. 1/100m

C. 1/m

D. 10/m

E. 10000/m

Solution:

We are given that x is m percent of y. We can express this as:

x = (m/100)y

Note that in the step above, the division of m by 100 has changed m from a percent to a decimal.

x = my/100

We are next asked, in terms of m, y is what percent of x? This can be expressed as:

(y/x) (100) = ?

We need to manipulate our first equation until we isolate y/x.

x = my/100

Multiplying the entire equation by 100 we have:

100x = my

Then divide both sides by x:

100 = my/x

Then divide both sides by m:

100/m = y/x

The final step is to multiply both sides of the equation by 100. We must do this to convert the decimal represented by y/x into a percent.

(100/m) (100) = (y/x) (100)

10,000/m = (y/x) (100)

Answer: E