127.33 is what percent of 1120 - 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 1120 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 1120, so we can write it down as 100%=1120.
4. We know, that x% equals 127.33 of the output value, so we can write it down as x%=127.33.
5. Now we have two simple equations:
1) 100%=1120
2) x%=127.33
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%=1120/127.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 127.33 is what percent of 1120

100%/x%=1120/127.33
(100/x)*x=(1120/127.33)*x       - we multiply both sides of the equation by x
100=8.7960417811985*x       - we divide both sides of the equation by (8.7960417811985) to get x
100/8.7960417811985=x
11.36875=x
x=11.36875

now we have:
127.33 is 11.36875% of 1120