575.75 is what percent of 800.5 - 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 800.5 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 800.5, so we can write it down as 100%=800.5.
4. We know, that x% equals 575.75 of the output value, so we can write it down as x%=575.75.
5. Now we have two simple equations:
1) 100%=800.5
2) x%=575.75
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%=800.5/575.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 575.75 is what percent of 800.5

100%/x%=800.5/575.75
(100/x)*x=(800.5/575.75)*x       - we multiply both sides of the equation by x
100=1.3903603994789*x       - we divide both sides of the equation by (1.3903603994789) to get x
100/1.3903603994789=x
71.923797626483=x
x=71.923797626483

now we have:
575.75 is 71.923797626483% of 800.5