540.02 is what percent of 650.05 - 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 650.05 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 650.05, so we can write it down as 100%=650.05.
4. We know, that x% equals 540.02 of the output value, so we can write it down as x%=540.02.
5. Now we have two simple equations:
1) 100%=650.05
2) x%=540.02
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%=650.05/540.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 540.02 is what percent of 650.05

100%/x%=650.05/540.02
(100/x)*x=(650.05/540.02)*x       - we multiply both sides of the equation by x
100=1.2037517128995*x       - we divide both sides of the equation by (1.2037517128995) to get x
100/1.2037517128995=x
83.073609722329=x
x=83.073609722329

now we have:
540.02 is 83.073609722329% of 650.05