8.1 is what percent of 46.9 - 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 46.9 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 46.9, so we can write it down as 100%=46.9.
4. We know, that x% equals 8.1 of the output value, so we can write it down as x%=8.1.
5. Now we have two simple equations:
1) 100%=46.9
2) x%=8.1
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%=46.9/8.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.1 is what percent of 46.9

100%/x%=46.9/8.1
(100/x)*x=(46.9/8.1)*x       - we multiply both sides of the equation by x
100=5.7901234567901*x       - we divide both sides of the equation by (5.7901234567901) to get x
100/5.7901234567901=x
17.27078891258=x
x=17.27078891258

now we have:
8.1 is 17.27078891258% of 46.9