21.38 is what percent of 22.75 - 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 22.75 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 22.75, so we can write it down as 100%=22.75.
4. We know, that x% equals 21.38 of the output value, so we can write it down as x%=21.38.
5. Now we have two simple equations:
1) 100%=22.75
2) x%=21.38
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%=22.75/21.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 21.38 is what percent of 22.75

100%/x%=22.75/21.38
(100/x)*x=(22.75/21.38)*x       - we multiply both sides of the equation by x
100=1.0640785781104*x       - we divide both sides of the equation by (1.0640785781104) to get x
100/1.0640785781104=x
93.978021978022=x
x=93.978021978022

now we have:
21.38 is 93.978021978022% of 22.75