5.84 is what percent of 126 - 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 126 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 126, so we can write it down as 100%=126.
4. We know, that x% equals 5.84 of the output value, so we can write it down as x%=5.84.
5. Now we have two simple equations:
1) 100%=126
2) x%=5.84
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%=126/5.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.84 is what percent of 126

100%/x%=126/5.84
(100/x)*x=(126/5.84)*x       - we multiply both sides of the equation by x
100=21.575342465753*x       - we divide both sides of the equation by (21.575342465753) to get x
100/21.575342465753=x
4.6349206349206=x
x=4.6349206349206

now we have:
5.84 is 4.6349206349206% of 126