18.4 is what percent of 284.48 - 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 284.48 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 284.48, so we can write it down as 100%=284.48.
4. We know, that x% equals 18.4 of the output value, so we can write it down as x%=18.4.
5. Now we have two simple equations:
1) 100%=284.48
2) x%=18.4
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%=284.48/18.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 18.4 is what percent of 284.48

100%/x%=284.48/18.4
(100/x)*x=(284.48/18.4)*x       - we multiply both sides of the equation by x
100=15.460869565217*x       - we divide both sides of the equation by (15.460869565217) to get x
100/15.460869565217=x
6.4679415073116=x
x=6.4679415073116

now we have:
18.4 is 6.4679415073116% of 284.48