71.2 is what percent of 248.4 - 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 248.4 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 248.4, so we can write it down as 100%=248.4.
4. We know, that x% equals 71.2 of the output value, so we can write it down as x%=71.2.
5. Now we have two simple equations:
1) 100%=248.4
2) x%=71.2
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%=248.4/71.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 71.2 is what percent of 248.4

100%/x%=248.4/71.2
(100/x)*x=(248.4/71.2)*x       - we multiply both sides of the equation by x
100=3.4887640449438*x       - we divide both sides of the equation by (3.4887640449438) to get x
100/3.4887640449438=x
28.66344605475=x
x=28.66344605475

now we have:
71.2 is 28.66344605475% of 248.4