30.55 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 30.55 of the output value, so we can write it down as x%=30.55.
5. Now we have two simple equations:
1) 100%=33
2) x%=30.55
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%=33/30.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 30.55 is what percent of 33

100%/x%=33/30.55
(100/x)*x=(33/30.55)*x       - we multiply both sides of the equation by x
100=1.0801963993453*x       - we divide both sides of the equation by (1.0801963993453) to get x
100/1.0801963993453=x
92.575757575758=x
x=92.575757575758

now we have:
30.55 is 92.575757575758% of 33