77.6 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 77.6 of the output value, so we can write it down as x%=77.6.
5. Now we have two simple equations:
1) 100%=33
2) x%=77.6
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%=33/77.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 77.6 is what percent of 33

100%/x%=33/77.6
(100/x)*x=(33/77.6)*x       - we multiply both sides of the equation by x
100=0.42525773195876*x       - we divide both sides of the equation by (0.42525773195876) to get x
100/0.42525773195876=x
235.15151515152=x
x=235.15151515152

now we have:
77.6 is 235.15151515152% of 33