2.66 is what percent of 4.01 - 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 4.01 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 4.01, so we can write it down as 100%=4.01.
4. We know, that x% equals 2.66 of the output value, so we can write it down as x%=2.66.
5. Now we have two simple equations:
1) 100%=4.01
2) x%=2.66
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%=4.01/2.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.66 is what percent of 4.01

100%/x%=4.01/2.66
(100/x)*x=(4.01/2.66)*x       - we multiply both sides of the equation by x
100=1.5075187969925*x       - we divide both sides of the equation by (1.5075187969925) to get x
100/1.5075187969925=x
66.334164588529=x
x=66.334164588529

now we have:
2.66 is 66.334164588529% of 4.01