8.36 is what percent of 50.14 - 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 50.14 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 50.14, so we can write it down as 100%=50.14.
4. We know, that x% equals 8.36 of the output value, so we can write it down as x%=8.36.
5. Now we have two simple equations:
1) 100%=50.14
2) x%=8.36
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%=50.14/8.36
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.36 is what percent of 50.14

100%/x%=50.14/8.36
(100/x)*x=(50.14/8.36)*x       - we multiply both sides of the equation by x
100=5.9976076555024*x       - we divide both sides of the equation by (5.9976076555024) to get x
100/5.9976076555024=x
16.673314718787=x
x=16.673314718787

now we have:
8.36 is 16.673314718787% of 50.14