137.67 is what percent of 3833 - 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 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, so we can write it down as 100%=3833.
4. We know, that x% equals 137.67 of the output value, so we can write it down as x%=137.67.
5. Now we have two simple equations:
1) 100%=3833
2) x%=137.67
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%=3833/137.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 137.67 is what percent of 3833

100%/x%=3833/137.67
(100/x)*x=(3833/137.67)*x       - we multiply both sides of the equation by x
100=27.841940873102*x       - we divide both sides of the equation by (27.841940873102) to get x
100/27.841940873102=x
3.5917036264023=x
x=3.5917036264023

now we have:
137.67 is 3.5917036264023% of 3833