9.85 is what percent of 57.45 - 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 57.45 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 57.45, so we can write it down as 100%=57.45.
4. We know, that x% equals 9.85 of the output value, so we can write it down as x%=9.85.
5. Now we have two simple equations:
1) 100%=57.45
2) x%=9.85
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%=57.45/9.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.85 is what percent of 57.45

100%/x%=57.45/9.85
(100/x)*x=(57.45/9.85)*x       - we multiply both sides of the equation by x
100=5.8324873096447*x       - we divide both sides of the equation by (5.8324873096447) to get x
100/5.8324873096447=x
17.145343777198=x
x=17.145343777198

now we have:
9.85 is 17.145343777198% of 57.45