What is 9.58 percent of 527.35 - 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 527.35 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 527.35 is 100%, so we can write it down as 527.35=100%.
4. We know, that x is 9.58% of the output value, so we can write it down as x=9.58%.
5. Now we have two simple equations:
1) 527.35=100%
2) x=9.58%
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:
527.35/x=100%/9.58%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 9.58% of 527.35

527.35/x=100/9.58
(527.35/x)*x=(100/9.58)*x       - we multiply both sides of the equation by x
527.35=10.438413361169*x       - we divide both sides of the equation by (10.438413361169) to get x
527.35/10.438413361169=x
50.52013=x
x=50.52013

now we have:
9.58% of 527.35=50.52013