42.55 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 42.55 of the output value, so we can write it down as x%=42.55.
5. Now we have two simple equations:
1) 100%=33
2) x%=42.55
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%=33/42.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42.55 is what percent of 33

100%/x%=33/42.55
(100/x)*x=(33/42.55)*x       - we multiply both sides of the equation by x
100=0.77555816686251*x       - we divide both sides of the equation by (0.77555816686251) to get x
100/0.77555816686251=x
128.93939393939=x
x=128.93939393939

now we have:
42.55 is 128.93939393939% of 33