52.5 is what percent of 40.23 - 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 40.23 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 40.23, so we can write it down as 100%=40.23.
4. We know, that x% equals 52.5 of the output value, so we can write it down as x%=52.5.
5. Now we have two simple equations:
1) 100%=40.23
2) x%=52.5
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%=40.23/52.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 52.5 is what percent of 40.23

100%/x%=40.23/52.5
(100/x)*x=(40.23/52.5)*x       - we multiply both sides of the equation by x
100=0.76628571428571*x       - we divide both sides of the equation by (0.76628571428571) to get x
100/0.76628571428571=x
130.49962714392=x
x=130.49962714392

now we have:
52.5 is 130.49962714392% of 40.23