8.4 is what percent of 44.9 - 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 44.9 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 44.9, so we can write it down as 100%=44.9.
4. We know, that x% equals 8.4 of the output value, so we can write it down as x%=8.4.
5. Now we have two simple equations:
1) 100%=44.9
2) x%=8.4
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%=44.9/8.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.4 is what percent of 44.9

100%/x%=44.9/8.4
(100/x)*x=(44.9/8.4)*x       - we multiply both sides of the equation by x
100=5.3452380952381*x       - we divide both sides of the equation by (5.3452380952381) to get x
100/5.3452380952381=x
18.708240534521=x
x=18.708240534521

now we have:
8.4 is 18.708240534521% of 44.9