8.7 is what percent of 18.67 - 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 18.67 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 18.67, so we can write it down as 100%=18.67.
4. We know, that x% equals 8.7 of the output value, so we can write it down as x%=8.7.
5. Now we have two simple equations:
1) 100%=18.67
2) x%=8.7
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%=18.67/8.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.7 is what percent of 18.67

100%/x%=18.67/8.7
(100/x)*x=(18.67/8.7)*x       - we multiply both sides of the equation by x
100=2.1459770114943*x       - we divide both sides of the equation by (2.1459770114943) to get x
100/2.1459770114943=x
46.598821638993=x
x=46.598821638993

now we have:
8.7 is 46.598821638993% of 18.67