5.84 is what percent of 484.65 - 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 484.65 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 484.65, so we can write it down as 100%=484.65.
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%=484.65
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%=484.65/5.84
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 484.65

100%/x%=484.65/5.84
(100/x)*x=(484.65/5.84)*x       - we multiply both sides of the equation by x
100=82.98801369863*x       - we divide both sides of the equation by (82.98801369863) to get x
100/82.98801369863=x
1.2049932941298=x
x=1.2049932941298

now we have:
5.84 is 1.2049932941298% of 484.65