1113.05 is what percent of 1097.5 - 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 1097.5 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 1097.5, so we can write it down as 100%=1097.5.
4. We know, that x% equals 1113.05 of the output value, so we can write it down as x%=1113.05.
5. Now we have two simple equations:
1) 100%=1097.5
2) x%=1113.05
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%=1097.5/1113.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1113.05 is what percent of 1097.5

100%/x%=1097.5/1113.05
(100/x)*x=(1097.5/1113.05)*x       - we multiply both sides of the equation by x
100=0.98602937873411*x       - we divide both sides of the equation by (0.98602937873411) to get x
100/0.98602937873411=x
101.41685649203=x
x=101.41685649203

now we have:
1113.05 is 101.41685649203% of 1097.5