218.2 is what percent of 3696.27 - 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 3696.27 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 3696.27, so we can write it down as 100%=3696.27.
4. We know, that x% equals 218.2 of the output value, so we can write it down as x%=218.2.
5. Now we have two simple equations:
1) 100%=3696.27
2) x%=218.2
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%=3696.27/218.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 218.2 is what percent of 3696.27

100%/x%=3696.27/218.2
(100/x)*x=(3696.27/218.2)*x       - we multiply both sides of the equation by x
100=16.939825847846*x       - we divide both sides of the equation by (16.939825847846) to get x
100/16.939825847846=x
5.9032484098835=x
x=5.9032484098835

now we have:
218.2 is 5.9032484098835% of 3696.27