8 is what percent of 19.362 - 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 19.362 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 19.362, so we can write it down as 100%=19.362.
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%=19.362
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%=19.362/8
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 19.362

100%/x%=19.362/8
(100/x)*x=(19.362/8)*x       - we multiply both sides of the equation by x
100=2.42025*x       - we divide both sides of the equation by (2.42025) to get x
100/2.42025=x
41.31804565644=x
x=41.31804565644

now we have:
8 is 41.31804565644% of 19.362