0.84 is what percent of 20.04 - 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 20.04 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 20.04, so we can write it down as 100%=20.04.
4. We know, that x% equals 0.84 of the output value, so we can write it down as x%=0.84.
5. Now we have two simple equations:
1) 100%=20.04
2) x%=0.84
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%=20.04/0.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.84 is what percent of 20.04

100%/x%=20.04/0.84
(100/x)*x=(20.04/0.84)*x       - we multiply both sides of the equation by x
100=23.857142857143*x       - we divide both sides of the equation by (23.857142857143) to get x
100/23.857142857143=x
4.1916167664671=x
x=4.1916167664671

now we have:
0.84 is 4.1916167664671% of 20.04