3.69 is what percent of 110.22 - 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 110.22 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 110.22, so we can write it down as 100%=110.22.
4. We know, that x% equals 3.69 of the output value, so we can write it down as x%=3.69.
5. Now we have two simple equations:
1) 100%=110.22
2) x%=3.69
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%=110.22/3.69
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.69 is what percent of 110.22

100%/x%=110.22/3.69
(100/x)*x=(110.22/3.69)*x       - we multiply both sides of the equation by x
100=29.869918699187*x       - we divide both sides of the equation by (29.869918699187) to get x
100/29.869918699187=x
3.3478497550354=x
x=3.3478497550354

now we have:
3.69 is 3.3478497550354% of 110.22