4.8 is what percent of 416.5 - 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 416.5 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 416.5, so we can write it down as 100%=416.5.
4. We know, that x% equals 4.8 of the output value, so we can write it down as x%=4.8.
5. Now we have two simple equations:
1) 100%=416.5
2) x%=4.8
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%=416.5/4.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.8 is what percent of 416.5

100%/x%=416.5/4.8
(100/x)*x=(416.5/4.8)*x       - we multiply both sides of the equation by x
100=86.770833333333*x       - we divide both sides of the equation by (86.770833333333) to get x
100/86.770833333333=x
1.1524609843938=x
x=1.1524609843938

now we have:
4.8 is 1.1524609843938% of 416.5