22.55 is what percent of 23.17 - 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 23.17 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 23.17, so we can write it down as 100%=23.17.
4. We know, that x% equals 22.55 of the output value, so we can write it down as x%=22.55.
5. Now we have two simple equations:
1) 100%=23.17
2) x%=22.55
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%=23.17/22.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 22.55 is what percent of 23.17

100%/x%=23.17/22.55
(100/x)*x=(23.17/22.55)*x       - we multiply both sides of the equation by x
100=1.0274944567627*x       - we divide both sides of the equation by (1.0274944567627) to get x
100/1.0274944567627=x
97.324126025032=x
x=97.324126025032

now we have:
22.55 is 97.324126025032% of 23.17