2607.72 is what percent of 3850 - 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 3850 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 3850, so we can write it down as 100%=3850.
4. We know, that x% equals 2607.72 of the output value, so we can write it down as x%=2607.72.
5. Now we have two simple equations:
1) 100%=3850
2) x%=2607.72
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%=3850/2607.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2607.72 is what percent of 3850

100%/x%=3850/2607.72
(100/x)*x=(3850/2607.72)*x       - we multiply both sides of the equation by x
100=1.4763855015109*x       - we divide both sides of the equation by (1.4763855015109) to get x
100/1.4763855015109=x
67.732987012987=x
x=67.732987012987

now we have:
2607.72 is 67.732987012987% of 3850