13.75 is what percent of 3.5 - 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 3.5 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 3.5, so we can write it down as 100%=3.5.
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%=3.5
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%=3.5/13.75
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 3.5

100%/x%=3.5/13.75
(100/x)*x=(3.5/13.75)*x       - we multiply both sides of the equation by x
100=0.25454545454545*x       - we divide both sides of the equation by (0.25454545454545) to get x
100/0.25454545454545=x
392.85714285714=x
x=392.85714285714

now we have:
13.75 is 392.85714285714% of 3.5