127.5 is what percent of 22 - 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 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, so we can write it down as 100%=22.
4. We know, that x% equals 127.5 of the output value, so we can write it down as x%=127.5.
5. Now we have two simple equations:
1) 100%=22
2) x%=127.5
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%=22/127.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 127.5 is what percent of 22

100%/x%=22/127.5
(100/x)*x=(22/127.5)*x       - we multiply both sides of the equation by x
100=0.17254901960784*x       - we divide both sides of the equation by (0.17254901960784) to get x
100/0.17254901960784=x
579.54545454545=x
x=579.54545454545

now we have:
127.5 is 579.54545454545% of 22