36.9 is what percent of 219.3 - 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 219.3 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 219.3, so we can write it down as 100%=219.3.
4. We know, that x% equals 36.9 of the output value, so we can write it down as x%=36.9.
5. Now we have two simple equations:
1) 100%=219.3
2) x%=36.9
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%=219.3/36.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 36.9 is what percent of 219.3

100%/x%=219.3/36.9
(100/x)*x=(219.3/36.9)*x       - we multiply both sides of the equation by x
100=5.9430894308943*x       - we divide both sides of the equation by (5.9430894308943) to get x
100/5.9430894308943=x
16.826265389877=x
x=16.826265389877

now we have:
36.9 is 16.826265389877% of 219.3