500.27 is what percent of 700.05 - 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 700.05 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 700.05, so we can write it down as 100%=700.05.
4. We know, that x% equals 500.27 of the output value, so we can write it down as x%=500.27.
5. Now we have two simple equations:
1) 100%=700.05
2) x%=500.27
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%=700.05/500.27
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 500.27 is what percent of 700.05

100%/x%=700.05/500.27
(100/x)*x=(700.05/500.27)*x       - we multiply both sides of the equation by x
100=1.3993443540488*x       - we divide both sides of the equation by (1.3993443540488) to get x
100/1.3993443540488=x
71.462038425827=x
x=71.462038425827

now we have:
500.27 is 71.462038425827% of 700.05