Question

If 20% of x is y, and 30% of y is z, then what percent of x is z?

Answer 1

Your answer is 6% of x.

We can write the given information as equations to find the answer:

Another way to write "20% of x" is to write 0.2x, so therefore 0.2x = y

You can also write "30% of y" as 0.3y, so 0.3y = z

Now we can substitute in the first equation to the second equation, as we know what y equals in terms of x:

0.3(0.2x) = z

Multiplying out we get:

0.06x = z, and 0.06 as a percentage is 6%

I hope this helps!