23.15 is what percent of 23.52 - 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 23.52 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 23.52, so we can write it down as 100%=23.52.
4. We know, that x% equals 23.15 of the output value, so we can write it down as x%=23.15.
5. Now we have two simple equations:
1) 100%=23.52
2) x%=23.15
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%=23.52/23.15
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 23.15 is what percent of 23.52

100%/x%=23.52/23.15
(100/x)*x=(23.52/23.15)*x       - we multiply both sides of the equation by x
100=1.0159827213823*x       - we divide both sides of the equation by (1.0159827213823) to get x
100/1.0159827213823=x
98.426870748299=x
x=98.426870748299

now we have:
23.15 is 98.426870748299% of 23.52