4.8 is what percent of 150.2 - 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 150.2 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 150.2, so we can write it down as 100%=150.2.
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%=150.2
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%=150.2/4.8
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 150.2

100%/x%=150.2/4.8
(100/x)*x=(150.2/4.8)*x       - we multiply both sides of the equation by x
100=31.291666666667*x       - we divide both sides of the equation by (31.291666666667) to get x
100/31.291666666667=x
3.1957390146471=x
x=3.1957390146471

now we have:
4.8 is 3.1957390146471% of 150.2