0.84 is what percent of 5.92 - 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 5.92 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 5.92, so we can write it down as 100%=5.92.
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%=5.92
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%=5.92/0.84
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 5.92

100%/x%=5.92/0.84
(100/x)*x=(5.92/0.84)*x       - we multiply both sides of the equation by x
100=7.047619047619*x       - we divide both sides of the equation by (7.047619047619) to get x
100/7.047619047619=x
14.189189189189=x
x=14.189189189189

now we have:
0.84 is 14.189189189189% of 5.92