38.16 is what percent of 3746 - 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 3746 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 3746, so we can write it down as 100%=3746.
4. We know, that x% equals 38.16 of the output value, so we can write it down as x%=38.16.
5. Now we have two simple equations:
1) 100%=3746
2) x%=38.16
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%=3746/38.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 38.16 is what percent of 3746

100%/x%=3746/38.16
(100/x)*x=(3746/38.16)*x       - we multiply both sides of the equation by x
100=98.165618448637*x       - we divide both sides of the equation by (98.165618448637) to get x
100/98.165618448637=x
1.018686599039=x
x=1.018686599039

now we have:
38.16 is 1.018686599039% of 3746