575.7 is what percent of 699 - 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 699 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 699, so we can write it down as 100%=699.
4. We know, that x% equals 575.7 of the output value, so we can write it down as x%=575.7.
5. Now we have two simple equations:
1) 100%=699
2) x%=575.7
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%=699/575.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 575.7 is what percent of 699

100%/x%=699/575.7
(100/x)*x=(699/575.7)*x       - we multiply both sides of the equation by x
100=1.2141740489838*x       - we divide both sides of the equation by (1.2141740489838) to get x
100/1.2141740489838=x
82.360515021459=x
x=82.360515021459

now we have:
575.7 is 82.360515021459% of 699