645.92 is what percent of 587.2 - 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 587.2 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 587.2, so we can write it down as 100%=587.2.
4. We know, that x% equals 645.92 of the output value, so we can write it down as x%=645.92.
5. Now we have two simple equations:
1) 100%=587.2
2) x%=645.92
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%=587.2/645.92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 645.92 is what percent of 587.2

100%/x%=587.2/645.92
(100/x)*x=(587.2/645.92)*x       - we multiply both sides of the equation by x
100=0.90909090909091*x       - we divide both sides of the equation by (0.90909090909091) to get x
100/0.90909090909091=x
110=x
x=110

now we have:
645.92 is 110% of 587.2