8 is what percent of 49.05 - 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 49.05 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 49.05, so we can write it down as 100%=49.05.
4. We know, that x% equals 8 of the output value, so we can write it down as x%=8.
5. Now we have two simple equations:
1) 100%=49.05
2) x%=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%=49.05/8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8 is what percent of 49.05

100%/x%=49.05/8
(100/x)*x=(49.05/8)*x       - we multiply both sides of the equation by x
100=6.13125*x       - we divide both sides of the equation by (6.13125) to get x
100/6.13125=x
16.309887869521=x
x=16.309887869521

now we have:
8 is 16.309887869521% of 49.05