0.33 is what percent of 54.22 - 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 54.22 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 54.22, so we can write it down as 100%=54.22.
4. We know, that x% equals 0.33 of the output value, so we can write it down as x%=0.33.
5. Now we have two simple equations:
1) 100%=54.22
2) x%=0.33
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%=54.22/0.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.33 is what percent of 54.22

100%/x%=54.22/0.33
(100/x)*x=(54.22/0.33)*x       - we multiply both sides of the equation by x
100=164.30303030303*x       - we divide both sides of the equation by (164.30303030303) to get x
100/164.30303030303=x
0.60863150129104=x
x=0.60863150129104

now we have:
0.33 is 0.60863150129104% of 54.22