13.74 is what percent of 38.98 - 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 38.98 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 38.98, so we can write it down as 100%=38.98.
4. We know, that x% equals 13.74 of the output value, so we can write it down as x%=13.74.
5. Now we have two simple equations:
1) 100%=38.98
2) x%=13.74
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%=38.98/13.74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.74 is what percent of 38.98

100%/x%=38.98/13.74
(100/x)*x=(38.98/13.74)*x       - we multiply both sides of the equation by x
100=2.8369723435226*x       - we divide both sides of the equation by (2.8369723435226) to get x
100/2.8369723435226=x
35.248845561827=x
x=35.248845561827

now we have:
13.74 is 35.248845561827% of 38.98