77.2 is what percent of 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 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 33, so we can write it down as 100%=33.
4. We know, that x% equals 77.2 of the output value, so we can write it down as x%=77.2.
5. Now we have two simple equations:
1) 100%=33
2) x%=77.2
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%=33/77.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 77.2 is what percent of 33

100%/x%=33/77.2
(100/x)*x=(33/77.2)*x       - we multiply both sides of the equation by x
100=0.42746113989637*x       - we divide both sides of the equation by (0.42746113989637) to get x
100/0.42746113989637=x
233.93939393939=x
x=233.93939393939

now we have:
77.2 is 233.93939393939% of 33