112.8 is what percent of 1522 - 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 1522 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 1522, so we can write it down as 100%=1522.
4. We know, that x% equals 112.8 of the output value, so we can write it down as x%=112.8.
5. Now we have two simple equations:
1) 100%=1522
2) x%=112.8
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%=1522/112.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 112.8 is what percent of 1522

100%/x%=1522/112.8
(100/x)*x=(1522/112.8)*x       - we multiply both sides of the equation by x
100=13.492907801418*x       - we divide both sides of the equation by (13.492907801418) to get x
100/13.492907801418=x
7.4113009198423=x
x=7.4113009198423

now we have:
112.8 is 7.4113009198423% of 1522