77.72 is what percent of 3766 - 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 3766 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 3766, so we can write it down as 100%=3766.
4. We know, that x% equals 77.72 of the output value, so we can write it down as x%=77.72.
5. Now we have two simple equations:
1) 100%=3766
2) x%=77.72
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%=3766/77.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 77.72 is what percent of 3766

100%/x%=3766/77.72
(100/x)*x=(3766/77.72)*x       - we multiply both sides of the equation by x
100=48.455995882656*x       - we divide both sides of the equation by (48.455995882656) to get x
100/48.455995882656=x
2.0637280934679=x
x=2.0637280934679

now we have:
77.72 is 2.0637280934679% of 3766