966.79 is what percent of 1525 - 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 1525 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 1525, so we can write it down as 100%=1525.
4. We know, that x% equals 966.79 of the output value, so we can write it down as x%=966.79.
5. Now we have two simple equations:
1) 100%=1525
2) x%=966.79
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%=1525/966.79
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 966.79 is what percent of 1525

100%/x%=1525/966.79
(100/x)*x=(1525/966.79)*x       - we multiply both sides of the equation by x
100=1.5773849543334*x       - we divide both sides of the equation by (1.5773849543334) to get x
100/1.5773849543334=x
63.39606557377=x
x=63.39606557377

now we have:
966.79 is 63.39606557377% of 1525