22.5 is what percent of 181.5 - 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 181.5 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 181.5, so we can write it down as 100%=181.5.
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%=181.5
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%=181.5/22.5
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 181.5

100%/x%=181.5/22.5
(100/x)*x=(181.5/22.5)*x       - we multiply both sides of the equation by x
100=8.0666666666667*x       - we divide both sides of the equation by (8.0666666666667) to get x
100/8.0666666666667=x
12.396694214876=x
x=12.396694214876

now we have:
22.5 is 12.396694214876% of 181.5