510.2 is what percent of 530 - 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 530 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 530, so we can write it down as 100%=530.
4. We know, that x% equals 510.2 of the output value, so we can write it down as x%=510.2.
5. Now we have two simple equations:
1) 100%=530
2) x%=510.2
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%=530/510.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 510.2 is what percent of 530

100%/x%=530/510.2
(100/x)*x=(530/510.2)*x       - we multiply both sides of the equation by x
100=1.0388083104665*x       - we divide both sides of the equation by (1.0388083104665) to get x
100/1.0388083104665=x
96.264150943396=x
x=96.264150943396

now we have:
510.2 is 96.264150943396% of 530