2.33 is what percent of 2.66 - 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 2.66 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 2.66, so we can write it down as 100%=2.66.
4. We know, that x% equals 2.33 of the output value, so we can write it down as x%=2.33.
5. Now we have two simple equations:
1) 100%=2.66
2) x%=2.33
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%=2.66/2.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.33 is what percent of 2.66

100%/x%=2.66/2.33
(100/x)*x=(2.66/2.33)*x       - we multiply both sides of the equation by x
100=1.1416309012876*x       - we divide both sides of the equation by (1.1416309012876) to get x
100/1.1416309012876=x
87.593984962406=x
x=87.593984962406

now we have:
2.33 is 87.593984962406% of 2.66