48.2 is what percent of 246.2 - 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 246.2 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 246.2, so we can write it down as 100%=246.2.
4. We know, that x% equals 48.2 of the output value, so we can write it down as x%=48.2.
5. Now we have two simple equations:
1) 100%=246.2
2) x%=48.2
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%=246.2/48.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 48.2 is what percent of 246.2

100%/x%=246.2/48.2
(100/x)*x=(246.2/48.2)*x       - we multiply both sides of the equation by x
100=5.1078838174274*x       - we divide both sides of the equation by (5.1078838174274) to get x
100/5.1078838174274=x
19.577579203899=x
x=19.577579203899

now we have:
48.2 is 19.577579203899% of 246.2