2.67 is what percent of 109.33 - 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 109.33 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 109.33, so we can write it down as 100%=109.33.
4. We know, that x% equals 2.67 of the output value, so we can write it down as x%=2.67.
5. Now we have two simple equations:
1) 100%=109.33
2) x%=2.67
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%=109.33/2.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.67 is what percent of 109.33

100%/x%=109.33/2.67
(100/x)*x=(109.33/2.67)*x       - we multiply both sides of the equation by x
100=40.947565543071*x       - we divide both sides of the equation by (40.947565543071) to get x
100/40.947565543071=x
2.442147626452=x
x=2.442147626452

now we have:
2.67 is 2.442147626452% of 109.33