8.4 is what percent of 199.99 - 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 199.99 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 199.99, so we can write it down as 100%=199.99.
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%=199.99
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%=199.99/8.4
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 199.99

100%/x%=199.99/8.4
(100/x)*x=(199.99/8.4)*x       - we multiply both sides of the equation by x
100=23.808333333333*x       - we divide both sides of the equation by (23.808333333333) to get x
100/23.808333333333=x
4.2002100105005=x
x=4.2002100105005

now we have:
8.4 is 4.2002100105005% of 199.99