8.4 is what percent of 100 - 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 100 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 100, so we can write it down as 100%=100.
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%=100
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%=100/8.4
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 100

100%/x%=100/8.4
(100/x)*x=(100/8.4)*x       - we multiply both sides of the equation by x
100=11.904761904762*x       - we divide both sides of the equation by (11.904761904762) to get x
100/11.904761904762=x
8.4=x
x=8.4

now we have:
8.4 is 8.4% of 100