232.58 is what percent of 263.52 - 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 263.52 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 263.52, so we can write it down as 100%=263.52.
4. We know, that x% equals 232.58 of the output value, so we can write it down as x%=232.58.
5. Now we have two simple equations:
1) 100%=263.52
2) x%=232.58
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%=263.52/232.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 232.58 is what percent of 263.52

100%/x%=263.52/232.58
(100/x)*x=(263.52/232.58)*x       - we multiply both sides of the equation by x
100=1.1330294952274*x       - we divide both sides of the equation by (1.1330294952274) to get x
100/1.1330294952274=x
88.258955676988=x
x=88.258955676988

now we have:
232.58 is 88.258955676988% of 263.52