4.8 is what percent of 14.6 - 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 14.6 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 14.6, so we can write it down as 100%=14.6.
4. We know, that x% equals 4.8 of the output value, so we can write it down as x%=4.8.
5. Now we have two simple equations:
1) 100%=14.6
2) x%=4.8
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%=14.6/4.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.8 is what percent of 14.6

100%/x%=14.6/4.8
(100/x)*x=(14.6/4.8)*x       - we multiply both sides of the equation by x
100=3.0416666666667*x       - we divide both sides of the equation by (3.0416666666667) to get x
100/3.0416666666667=x
32.876712328767=x
x=32.876712328767

now we have:
4.8 is 32.876712328767% of 14.6