882.65 is what percent of 1160 - 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 1160 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 1160, so we can write it down as 100%=1160.
4. We know, that x% equals 882.65 of the output value, so we can write it down as x%=882.65.
5. Now we have two simple equations:
1) 100%=1160
2) x%=882.65
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%=1160/882.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 882.65 is what percent of 1160

100%/x%=1160/882.65
(100/x)*x=(1160/882.65)*x       - we multiply both sides of the equation by x
100=1.3142242111822*x       - we divide both sides of the equation by (1.3142242111822) to get x
100/1.3142242111822=x
76.090517241379=x
x=76.090517241379

now we have:
882.65 is 76.090517241379% of 1160