213.87 is what percent of 587.75 - 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 587.75 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 587.75, so we can write it down as 100%=587.75.
4. We know, that x% equals 213.87 of the output value, so we can write it down as x%=213.87.
5. Now we have two simple equations:
1) 100%=587.75
2) x%=213.87
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%=587.75/213.87
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 213.87 is what percent of 587.75

100%/x%=587.75/213.87
(100/x)*x=(587.75/213.87)*x       - we multiply both sides of the equation by x
100=2.7481647729929*x       - we divide both sides of the equation by (2.7481647729929) to get x
100/2.7481647729929=x
36.387920034028=x
x=36.387920034028

now we have:
213.87 is 36.387920034028% of 587.75