103.72 is what percent of 3833.74 - 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 3833.74 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 3833.74, so we can write it down as 100%=3833.74.
4. We know, that x% equals 103.72 of the output value, so we can write it down as x%=103.72.
5. Now we have two simple equations:
1) 100%=3833.74
2) x%=103.72
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%=3833.74/103.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 103.72 is what percent of 3833.74

100%/x%=3833.74/103.72
(100/x)*x=(3833.74/103.72)*x       - we multiply both sides of the equation by x
100=36.962398765908*x       - we divide both sides of the equation by (36.962398765908) to get x
100/36.962398765908=x
2.7054521172536=x
x=2.7054521172536

now we have:
103.72 is 2.7054521172536% of 3833.74