0.53 is what percent of 30.28 - 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 30.28 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 30.28, so we can write it down as 100%=30.28.
4. We know, that x% equals 0.53 of the output value, so we can write it down as x%=0.53.
5. Now we have two simple equations:
1) 100%=30.28
2) x%=0.53
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%=30.28/0.53
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.53 is what percent of 30.28

100%/x%=30.28/0.53
(100/x)*x=(30.28/0.53)*x       - we multiply both sides of the equation by x
100=57.132075471698*x       - we divide both sides of the equation by (57.132075471698) to get x
100/57.132075471698=x
1.7503302509908=x
x=1.7503302509908

now we have:
0.53 is 1.7503302509908% of 30.28