48.65 is what percent of 337.5 - 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 337.5 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 337.5, so we can write it down as 100%=337.5.
4. We know, that x% equals 48.65 of the output value, so we can write it down as x%=48.65.
5. Now we have two simple equations:
1) 100%=337.5
2) x%=48.65
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%=337.5/48.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 48.65 is what percent of 337.5

100%/x%=337.5/48.65
(100/x)*x=(337.5/48.65)*x       - we multiply both sides of the equation by x
100=6.9373072970195*x       - we divide both sides of the equation by (6.9373072970195) to get x
100/6.9373072970195=x
14.414814814815=x
x=14.414814814815

now we have:
48.65 is 14.414814814815% of 337.5