576.97 is what percent of 697.37 - 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 697.37 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 697.37, so we can write it down as 100%=697.37.
4. We know, that x% equals 576.97 of the output value, so we can write it down as x%=576.97.
5. Now we have two simple equations:
1) 100%=697.37
2) x%=576.97
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%=697.37/576.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 576.97 is what percent of 697.37

100%/x%=697.37/576.97
(100/x)*x=(697.37/576.97)*x       - we multiply both sides of the equation by x
100=1.2086763609893*x       - we divide both sides of the equation by (1.2086763609893) to get x
100/1.2086763609893=x
82.735133429887=x
x=82.735133429887

now we have:
576.97 is 82.735133429887% of 697.37