1075.9 is what percent of 13088 - 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 13088 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 13088, so we can write it down as 100%=13088.
4. We know, that x% equals 1075.9 of the output value, so we can write it down as x%=1075.9.
5. Now we have two simple equations:
1) 100%=13088
2) x%=1075.9
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%=13088/1075.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1075.9 is what percent of 13088

100%/x%=13088/1075.9
(100/x)*x=(13088/1075.9)*x       - we multiply both sides of the equation by x
100=12.1646993215*x       - we divide both sides of the equation by (12.1646993215) to get x
100/12.1646993215=x
8.22050733496=x
x=8.22050733496

now we have:
1075.9 is 8.22050733496% of 13088