33.79 is what percent of 72.67 - 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 72.67 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 72.67, so we can write it down as 100%=72.67.
4. We know, that x% equals 33.79 of the output value, so we can write it down as x%=33.79.
5. Now we have two simple equations:
1) 100%=72.67
2) x%=33.79
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%=72.67/33.79
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 33.79 is what percent of 72.67

100%/x%=72.67/33.79
(100/x)*x=(72.67/33.79)*x       - we multiply both sides of the equation by x
100=2.1506362829239*x       - we divide both sides of the equation by (2.1506362829239) to get x
100/2.1506362829239=x
46.497867070318=x
x=46.497867070318

now we have:
33.79 is 46.497867070318% of 72.67