821.66 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 821.66 of the output value, so we can write it down as x%=821.66.
5. Now we have two simple equations:
1) 100%=940
2) x%=821.66
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%=940/821.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 821.66 is what percent of 940

100%/x%=940/821.66
(100/x)*x=(940/821.66)*x       - we multiply both sides of the equation by x
100=1.1440255093348*x       - we divide both sides of the equation by (1.1440255093348) to get x
100/1.1440255093348=x
87.410638297872=x
x=87.410638297872

now we have:
821.66 is 87.410638297872% of 940