4.16 is what percent of 39.8 - 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 39.8 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 39.8, so we can write it down as 100%=39.8.
4. We know, that x% equals 4.16 of the output value, so we can write it down as x%=4.16.
5. Now we have two simple equations:
1) 100%=39.8
2) x%=4.16
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%=39.8/4.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.16 is what percent of 39.8

100%/x%=39.8/4.16
(100/x)*x=(39.8/4.16)*x       - we multiply both sides of the equation by x
100=9.5673076923077*x       - we divide both sides of the equation by (9.5673076923077) to get x
100/9.5673076923077=x
10.452261306533=x
x=10.452261306533

now we have:
4.16 is 10.452261306533% of 39.8