9.47 is what percent of 16.57 - 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 16.57 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 16.57, so we can write it down as 100%=16.57.
4. We know, that x% equals 9.47 of the output value, so we can write it down as x%=9.47.
5. Now we have two simple equations:
1) 100%=16.57
2) x%=9.47
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%=16.57/9.47
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.47 is what percent of 16.57

100%/x%=16.57/9.47
(100/x)*x=(16.57/9.47)*x       - we multiply both sides of the equation by x
100=1.7497360084477*x       - we divide both sides of the equation by (1.7497360084477) to get x
100/1.7497360084477=x
57.151478575739=x
x=57.151478575739

now we have:
9.47 is 57.151478575739% of 16.57