8.51 is what percent of 18.51 - 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 18.51 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 18.51, so we can write it down as 100%=18.51.
4. We know, that x% equals 8.51 of the output value, so we can write it down as x%=8.51.
5. Now we have two simple equations:
1) 100%=18.51
2) x%=8.51
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%=18.51/8.51
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.51 is what percent of 18.51

100%/x%=18.51/8.51
(100/x)*x=(18.51/8.51)*x       - we multiply both sides of the equation by x
100=2.1750881316099*x       - we divide both sides of the equation by (2.1750881316099) to get x
100/2.1750881316099=x
45.975148568341=x
x=45.975148568341

now we have:
8.51 is 45.975148568341% of 18.51