27425.5 is what percent of 39499.5 - 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 39499.5 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 39499.5, so we can write it down as 100%=39499.5.
4. We know, that x% equals 27425.5 of the output value, so we can write it down as x%=27425.5.
5. Now we have two simple equations:
1) 100%=39499.5
2) x%=27425.5
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%=39499.5/27425.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 27425.5 is what percent of 39499.5

100%/x%=39499.5/27425.5
(100/x)*x=(39499.5/27425.5)*x       - we multiply both sides of the equation by x
100=1.440247215183*x       - we divide both sides of the equation by (1.440247215183) to get x
100/1.440247215183=x
69.432524462335=x
x=69.432524462335

now we have:
27425.5 is 69.432524462335% of 39499.5