23.68 is what percent of 32.58 - 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 32.58 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 32.58, so we can write it down as 100%=32.58.
4. We know, that x% equals 23.68 of the output value, so we can write it down as x%=23.68.
5. Now we have two simple equations:
1) 100%=32.58
2) x%=23.68
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%=32.58/23.68
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 23.68 is what percent of 32.58

100%/x%=32.58/23.68
(100/x)*x=(32.58/23.68)*x       - we multiply both sides of the equation by x
100=1.3758445945946*x       - we divide both sides of the equation by (1.3758445945946) to get x
100/1.3758445945946=x
72.68262737876=x
x=72.68262737876

now we have:
23.68 is 72.68262737876% of 32.58