0.2 is what percent of 47.99 - 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 47.99 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 47.99, so we can write it down as 100%=47.99.
4. We know, that x% equals 0.2 of the output value, so we can write it down as x%=0.2.
5. Now we have two simple equations:
1) 100%=47.99
2) x%=0.2
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%=47.99/0.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.2 is what percent of 47.99

100%/x%=47.99/0.2
(100/x)*x=(47.99/0.2)*x       - we multiply both sides of the equation by x
100=239.95*x       - we divide both sides of the equation by (239.95) to get x
100/239.95=x
0.41675349031048=x
x=0.41675349031048

now we have:
0.2 is 0.41675349031048% of 47.99