33.35 is what percent of 56.04 - 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 56.04 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 56.04, so we can write it down as 100%=56.04.
4. We know, that x% equals 33.35 of the output value, so we can write it down as x%=33.35.
5. Now we have two simple equations:
1) 100%=56.04
2) x%=33.35
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%=56.04/33.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 33.35 is what percent of 56.04

100%/x%=56.04/33.35
(100/x)*x=(56.04/33.35)*x       - we multiply both sides of the equation by x
100=1.68035982009*x       - we divide both sides of the equation by (1.68035982009) to get x
100/1.68035982009=x
59.511063526053=x
x=59.511063526053

now we have:
33.35 is 59.511063526053% of 56.04