2.67 is what percent of 3.67 - 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 3.67 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 3.67, so we can write it down as 100%=3.67.
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%=3.67
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%=3.67/2.67
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 3.67

100%/x%=3.67/2.67
(100/x)*x=(3.67/2.67)*x       - we multiply both sides of the equation by x
100=1.374531835206*x       - we divide both sides of the equation by (1.374531835206) to get x
100/1.374531835206=x
72.75204359673=x
x=72.75204359673

now we have:
2.67 is 72.75204359673% of 3.67