13.75 is what percent of 3109.43 - 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 3109.43 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 3109.43, so we can write it down as 100%=3109.43.
4. We know, that x% equals 13.75 of the output value, so we can write it down as x%=13.75.
5. Now we have two simple equations:
1) 100%=3109.43
2) x%=13.75
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%=3109.43/13.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.75 is what percent of 3109.43

100%/x%=3109.43/13.75
(100/x)*x=(3109.43/13.75)*x       - we multiply both sides of the equation by x
100=226.14036363636*x       - we divide both sides of the equation by (226.14036363636) to get x
100/226.14036363636=x
0.44220323339004=x
x=0.44220323339004

now we have:
13.75 is 0.44220323339004% of 3109.43