52.4 is what percent of 33.05 - 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 33.05 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 33.05, so we can write it down as 100%=33.05.
4. We know, that x% equals 52.4 of the output value, so we can write it down as x%=52.4.
5. Now we have two simple equations:
1) 100%=33.05
2) x%=52.4
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%=33.05/52.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 52.4 is what percent of 33.05

100%/x%=33.05/52.4
(100/x)*x=(33.05/52.4)*x       - we multiply both sides of the equation by x
100=0.63072519083969*x       - we divide both sides of the equation by (0.63072519083969) to get x
100/0.63072519083969=x
158.54765506808=x
x=158.54765506808

now we have:
52.4 is 158.54765506808% of 33.05