3.66 is what percent of 55.22 - 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 55.22 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 55.22, so we can write it down as 100%=55.22.
4. We know, that x% equals 3.66 of the output value, so we can write it down as x%=3.66.
5. Now we have two simple equations:
1) 100%=55.22
2) x%=3.66
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%=55.22/3.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.66 is what percent of 55.22

100%/x%=55.22/3.66
(100/x)*x=(55.22/3.66)*x       - we multiply both sides of the equation by x
100=15.087431693989*x       - we divide both sides of the equation by (15.087431693989) to get x
100/15.087431693989=x
6.6280333212604=x
x=6.6280333212604

now we have:
3.66 is 6.6280333212604% of 55.22