577.48 is what percent of 583.75 - 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 583.75 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 583.75, so we can write it down as 100%=583.75.
4. We know, that x% equals 577.48 of the output value, so we can write it down as x%=577.48.
5. Now we have two simple equations:
1) 100%=583.75
2) x%=577.48
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%=583.75/577.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 577.48 is what percent of 583.75

100%/x%=583.75/577.48
(100/x)*x=(583.75/577.48)*x       - we multiply both sides of the equation by x
100=1.0108575188751*x       - we divide both sides of the equation by (1.0108575188751) to get x
100/1.0108575188751=x
98.92591006424=x
x=98.92591006424

now we have:
577.48 is 98.92591006424% of 583.75