23.38 is what percent of 82.15 - 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 82.15 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 82.15, so we can write it down as 100%=82.15.
4. We know, that x% equals 23.38 of the output value, so we can write it down as x%=23.38.
5. Now we have two simple equations:
1) 100%=82.15
2) x%=23.38
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%=82.15/23.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 23.38 is what percent of 82.15

100%/x%=82.15/23.38
(100/x)*x=(82.15/23.38)*x       - we multiply both sides of the equation by x
100=3.5136869118905*x       - we divide both sides of the equation by (3.5136869118905) to get x
100/3.5136869118905=x
28.4601339014=x
x=28.4601339014

now we have:
23.38 is 28.4601339014% of 82.15