What is 2.66666666667 percent of 3.333 - 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 3.333 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 3.333 is 100%, so we can write it down as 3.333=100%.
4. We know, that x is 2.66666666667% of the output value, so we can write it down as x=2.66666666667%.
5. Now we have two simple equations:
1) 3.333=100%
2) x=2.66666666667%
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:
3.333/x=100%/2.66666666667%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 2.66666666667% of 3.333

3.333/x=100/2.66666666667
(3.333/x)*x=(100/2.66666666667)*x       - we multiply both sides of the equation by x
3.333=37.499999999953*x       - we divide both sides of the equation by (37.499999999953) to get x
3.333/37.499999999953=x
0.088880000000111=x
x=0.088880000000111

now we have:
2.66666666667% of 3.333=0.088880000000111