510.72 is what percent of 532.84 - 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 532.84 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 532.84, so we can write it down as 100%=532.84.
4. We know, that x% equals 510.72 of the output value, so we can write it down as x%=510.72.
5. Now we have two simple equations:
1) 100%=532.84
2) x%=510.72
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%=532.84/510.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 510.72 is what percent of 532.84

100%/x%=532.84/510.72
(100/x)*x=(532.84/510.72)*x       - we multiply both sides of the equation by x
100=1.0433114035088*x       - we divide both sides of the equation by (1.0433114035088) to get x
100/1.0433114035088=x
95.84866001051=x
x=95.84866001051

now we have:
510.72 is 95.84866001051% of 532.84