22.25 is what percent of 82.5 - 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 82.5 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 82.5, so we can write it down as 100%=82.5.
4. We know, that x% equals 22.25 of the output value, so we can write it down as x%=22.25.
5. Now we have two simple equations:
1) 100%=82.5
2) x%=22.25
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%=82.5/22.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 22.25 is what percent of 82.5

100%/x%=82.5/22.25
(100/x)*x=(82.5/22.25)*x       - we multiply both sides of the equation by x
100=3.7078651685393*x       - we divide both sides of the equation by (3.7078651685393) to get x
100/3.7078651685393=x
26.969696969697=x
x=26.969696969697

now we have:
22.25 is 26.969696969697% of 82.5