50.28 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 50.28 of the output value, so we can write it down as x%=50.28.
5. Now we have two simple equations:
1) 100%=530
2) x%=50.28
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%=530/50.28
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 50.28 is what percent of 530

100%/x%=530/50.28
(100/x)*x=(530/50.28)*x       - we multiply both sides of the equation by x
100=10.540970564837*x       - we divide both sides of the equation by (10.540970564837) to get x
100/10.540970564837=x
9.4867924528302=x
x=9.4867924528302

now we have:
50.28 is 9.4867924528302% of 530