3.66666666667 is what percent of 4 - 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 4 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 4, so we can write it down as 100%=4.
4. We know, that x% equals 3.66666666667 of the output value, so we can write it down as x%=3.66666666667.
5. Now we have two simple equations:
1) 100%=4
2) x%=3.66666666667
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%=4/3.66666666667
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.66666666667 is what percent of 4

100%/x%=4/3.66666666667
(100/x)*x=(4/3.66666666667)*x       - we multiply both sides of the equation by x
100=1.0909090909081*x       - we divide both sides of the equation by (1.0909090909081) to get x
100/1.0909090909081=x
91.66666666675=x
x=91.66666666675

now we have:
3.66666666667 is 91.66666666675% of 4