13.75 is what percent of 221.85 - 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 221.85 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 221.85, so we can write it down as 100%=221.85.
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%=221.85
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%=221.85/13.75
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 221.85

100%/x%=221.85/13.75
(100/x)*x=(221.85/13.75)*x       - we multiply both sides of the equation by x
100=16.134545454545*x       - we divide both sides of the equation by (16.134545454545) to get x
100/16.134545454545=x
6.1978814514311=x
x=6.1978814514311

now we have:
13.75 is 6.1978814514311% of 221.85