963.31 is what percent of 575.77 - 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 575.77 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 575.77, so we can write it down as 100%=575.77.
4. We know, that x% equals 963.31 of the output value, so we can write it down as x%=963.31.
5. Now we have two simple equations:
1) 100%=575.77
2) x%=963.31
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%=575.77/963.31
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 963.31 is what percent of 575.77

100%/x%=575.77/963.31
(100/x)*x=(575.77/963.31)*x       - we multiply both sides of the equation by x
100=0.59769959826017*x       - we divide both sides of the equation by (0.59769959826017) to get x
100/0.59769959826017=x
167.30812650885=x
x=167.30812650885

now we have:
963.31 is 167.30812650885% of 575.77