14.98 is what percent of 48.65 - 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 48.65 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 48.65, so we can write it down as 100%=48.65.
4. We know, that x% equals 14.98 of the output value, so we can write it down as x%=14.98.
5. Now we have two simple equations:
1) 100%=48.65
2) x%=14.98
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%=48.65/14.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 14.98 is what percent of 48.65

100%/x%=48.65/14.98
(100/x)*x=(48.65/14.98)*x       - we multiply both sides of the equation by x
100=3.2476635514019*x       - we divide both sides of the equation by (3.2476635514019) to get x
100/3.2476635514019=x
30.791366906475=x
x=30.791366906475

now we have:
14.98 is 30.791366906475% of 48.65