8.94 is what percent of 48.39 - 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 48.39 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 48.39, so we can write it down as 100%=48.39.
4. We know, that x% equals 8.94 of the output value, so we can write it down as x%=8.94.
5. Now we have two simple equations:
1) 100%=48.39
2) x%=8.94
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%=48.39/8.94
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.94 is what percent of 48.39

100%/x%=48.39/8.94
(100/x)*x=(48.39/8.94)*x       - we multiply both sides of the equation by x
100=5.4127516778523*x       - we divide both sides of the equation by (5.4127516778523) to get x
100/5.4127516778523=x
18.47489150651=x
x=18.47489150651

now we have:
8.94 is 18.47489150651% of 48.39