33.27 is what percent of 185.01 - 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 185.01 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 185.01, so we can write it down as 100%=185.01.
4. We know, that x% equals 33.27 of the output value, so we can write it down as x%=33.27.
5. Now we have two simple equations:
1) 100%=185.01
2) x%=33.27
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%=185.01/33.27
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 33.27 is what percent of 185.01

100%/x%=185.01/33.27
(100/x)*x=(185.01/33.27)*x       - we multiply both sides of the equation by x
100=5.560865644725*x       - we divide both sides of the equation by (5.560865644725) to get x
100/5.560865644725=x
17.982811739906=x
x=17.982811739906

now we have:
33.27 is 17.982811739906% of 185.01