509.07 is what percent of 687.93 - 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 687.93 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 687.93, so we can write it down as 100%=687.93.
4. We know, that x% equals 509.07 of the output value, so we can write it down as x%=509.07.
5. Now we have two simple equations:
1) 100%=687.93
2) x%=509.07
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%=687.93/509.07
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 509.07 is what percent of 687.93

100%/x%=687.93/509.07
(100/x)*x=(687.93/509.07)*x       - we multiply both sides of the equation by x
100=1.3513465731628*x       - we divide both sides of the equation by (1.3513465731628) to get x
100/1.3513465731628=x
74.000261654529=x
x=74.000261654529

now we have:
509.07 is 74.000261654529% of 687.93