22.72 is what percent of 94.53 - 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 94.53 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 94.53, so we can write it down as 100%=94.53.
4. We know, that x% equals 22.72 of the output value, so we can write it down as x%=22.72.
5. Now we have two simple equations:
1) 100%=94.53
2) x%=22.72
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%=94.53/22.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 22.72 is what percent of 94.53

100%/x%=94.53/22.72
(100/x)*x=(94.53/22.72)*x       - we multiply both sides of the equation by x
100=4.1606514084507*x       - we divide both sides of the equation by (4.1606514084507) to get x
100/4.1606514084507=x
24.034697979477=x
x=24.034697979477

now we have:
22.72 is 24.034697979477% of 94.53