22.5 is what percent of 712.5 - 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 712.5 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 712.5, so we can write it down as 100%=712.5.
4. We know, that x% equals 22.5 of the output value, so we can write it down as x%=22.5.
5. Now we have two simple equations:
1) 100%=712.5
2) x%=22.5
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%=712.5/22.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 22.5 is what percent of 712.5

100%/x%=712.5/22.5
(100/x)*x=(712.5/22.5)*x       - we multiply both sides of the equation by x
100=31.666666666667*x       - we divide both sides of the equation by (31.666666666667) to get x
100/31.666666666667=x
3.1578947368421=x
x=3.1578947368421

now we have:
22.5 is 3.1578947368421% of 712.5