33.39 is what percent of 361 - 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 361 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 361, so we can write it down as 100%=361.
4. We know, that x% equals 33.39 of the output value, so we can write it down as x%=33.39.
5. Now we have two simple equations:
1) 100%=361
2) x%=33.39
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%=361/33.39
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 33.39 is what percent of 361

100%/x%=361/33.39
(100/x)*x=(361/33.39)*x       - we multiply both sides of the equation by x
100=10.811620245583*x       - we divide both sides of the equation by (10.811620245583) to get x
100/10.811620245583=x
9.2493074792244=x
x=9.2493074792244

now we have:
33.39 is 9.2493074792244% of 361