1102.54 is what percent of 1350 - 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 1350 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 1350, so we can write it down as 100%=1350.
4. We know, that x% equals 1102.54 of the output value, so we can write it down as x%=1102.54.
5. Now we have two simple equations:
1) 100%=1350
2) x%=1102.54
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%=1350/1102.54
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1102.54 is what percent of 1350

100%/x%=1350/1102.54
(100/x)*x=(1350/1102.54)*x       - we multiply both sides of the equation by x
100=1.2244453715965*x       - we divide both sides of the equation by (1.2244453715965) to get x
100/1.2244453715965=x
81.66962962963=x
x=81.66962962963

now we have:
1102.54 is 81.66962962963% of 1350