829.18 is what percent of 940 - 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 940 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 940, so we can write it down as 100%=940.
4. We know, that x% equals 829.18 of the output value, so we can write it down as x%=829.18.
5. Now we have two simple equations:
1) 100%=940
2) x%=829.18
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%=940/829.18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 829.18 is what percent of 940

100%/x%=940/829.18
(100/x)*x=(940/829.18)*x       - we multiply both sides of the equation by x
100=1.133650112159*x       - we divide both sides of the equation by (1.133650112159) to get x
100/1.133650112159=x
88.210638297872=x
x=88.210638297872

now we have:
829.18 is 88.210638297872% of 940