48.9 is what percent of 339.2 - 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 339.2 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 339.2, so we can write it down as 100%=339.2.
4. We know, that x% equals 48.9 of the output value, so we can write it down as x%=48.9.
5. Now we have two simple equations:
1) 100%=339.2
2) x%=48.9
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%=339.2/48.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 48.9 is what percent of 339.2

100%/x%=339.2/48.9
(100/x)*x=(339.2/48.9)*x       - we multiply both sides of the equation by x
100=6.9366053169734*x       - we divide both sides of the equation by (6.9366053169734) to get x
100/6.9366053169734=x
14.416273584906=x
x=14.416273584906

now we have:
48.9 is 14.416273584906% of 339.2