18.9 is what percent of 8.4 - 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 8.4 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 8.4, so we can write it down as 100%=8.4.
4. We know, that x% equals 18.9 of the output value, so we can write it down as x%=18.9.
5. Now we have two simple equations:
1) 100%=8.4
2) x%=18.9
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%=8.4/18.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 18.9 is what percent of 8.4

100%/x%=8.4/18.9
(100/x)*x=(8.4/18.9)*x       - we multiply both sides of the equation by x
100=0.44444444444444*x       - we divide both sides of the equation by (0.44444444444444) to get x
100/0.44444444444444=x
225=x
x=225

now we have:
18.9 is 225% of 8.4