416 is what percent of 1107 - 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 1107 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 1107, so we can write it down as 100%=1107.
4. We know, that x% equals 416 of the output value, so we can write it down as x%=416.
5. Now we have two simple equations:
1) 100%=1107
2) x%=416
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%=1107/416
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 416 is what percent of 1107

100%/x%=1107/416
(100/x)*x=(1107/416)*x       - we multiply both sides of the equation by x
100=2.6610576923077*x       - we divide both sides of the equation by (2.6610576923077) to get x
100/2.6610576923077=x
37.579042457091=x
x=37.579042457091

now we have:
416 is 37.579042457091% of 1107