3 is what percent of 14.72 - 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 14.72 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 14.72, so we can write it down as 100%=14.72.
4. We know, that x% equals 3 of the output value, so we can write it down as x%=3.
5. Now we have two simple equations:
1) 100%=14.72
2) x%=3
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%=14.72/3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3 is what percent of 14.72

100%/x%=14.72/3
(100/x)*x=(14.72/3)*x       - we multiply both sides of the equation by x
100=4.9066666666667*x       - we divide both sides of the equation by (4.9066666666667) to get x
100/4.9066666666667=x
20.380434782609=x
x=20.380434782609

now we have:
3 is 20.380434782609% of 14.72