33.42 is what percent of 38.32 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 38.32 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 38.32, so we can write it down as 100%=38.32.
4. We know, that x% equals 33.42 of the output value, so we can write it down as x%=33.42.
5. Now we have two simple equations:
1) 100%=38.32
2) x%=33.42
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=38.32/33.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 33.42 is what percent of 38.32

100%/x%=38.32/33.42
(100/x)*x=(38.32/33.42)*x       - we multiply both sides of the equation by x
100=1.146618791143*x       - we divide both sides of the equation by (1.146618791143) to get x
100/1.146618791143=x
87.212943632568=x
x=87.212943632568

now we have:
33.42 is 87.212943632568% of 38.32