585.75 is what percent of 704.5 - 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 704.5 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 704.5, so we can write it down as 100%=704.5.
4. We know, that x% equals 585.75 of the output value, so we can write it down as x%=585.75.
5. Now we have two simple equations:
1) 100%=704.5
2) x%=585.75
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%=704.5/585.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 585.75 is what percent of 704.5

100%/x%=704.5/585.75
(100/x)*x=(704.5/585.75)*x       - we multiply both sides of the equation by x
100=1.2027315407597*x       - we divide both sides of the equation by (1.2027315407597) to get x
100/1.2027315407597=x
83.144073811214=x
x=83.144073811214

now we have:
585.75 is 83.144073811214% of 704.5