52.2 is what percent of 157 - 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 157 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 157, so we can write it down as 100%=157.
4. We know, that x% equals 52.2 of the output value, so we can write it down as x%=52.2.
5. Now we have two simple equations:
1) 100%=157
2) x%=52.2
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%=157/52.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 52.2 is what percent of 157

100%/x%=157/52.2
(100/x)*x=(157/52.2)*x       - we multiply both sides of the equation by x
100=3.007662835249*x       - we divide both sides of the equation by (3.007662835249) to get x
100/3.007662835249=x
33.248407643312=x
x=33.248407643312

now we have:
52.2 is 33.248407643312% of 157