586.45 is what percent of 645 - 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 645 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 645, so we can write it down as 100%=645.
4. We know, that x% equals 586.45 of the output value, so we can write it down as x%=586.45.
5. Now we have two simple equations:
1) 100%=645
2) x%=586.45
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%=645/586.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 586.45 is what percent of 645

100%/x%=645/586.45
(100/x)*x=(645/586.45)*x       - we multiply both sides of the equation by x
100=1.0998380083554*x       - we divide both sides of the equation by (1.0998380083554) to get x
100/1.0998380083554=x
90.922480620155=x
x=90.922480620155

now we have:
586.45 is 90.922480620155% of 645