510.12 is what percent of 658.62 - 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 658.62 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 658.62, so we can write it down as 100%=658.62.
4. We know, that x% equals 510.12 of the output value, so we can write it down as x%=510.12.
5. Now we have two simple equations:
1) 100%=658.62
2) x%=510.12
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%=658.62/510.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 510.12 is what percent of 658.62

100%/x%=658.62/510.12
(100/x)*x=(658.62/510.12)*x       - we multiply both sides of the equation by x
100=1.2911079745942*x       - we divide both sides of the equation by (1.2911079745942) to get x
100/1.2911079745942=x
77.452855971577=x
x=77.452855971577

now we have:
510.12 is 77.452855971577% of 658.62