6.65 is what percent of 458.28 - 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 458.28 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 458.28, so we can write it down as 100%=458.28.
4. We know, that x% equals 6.65 of the output value, so we can write it down as x%=6.65.
5. Now we have two simple equations:
1) 100%=458.28
2) x%=6.65
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%=458.28/6.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.65 is what percent of 458.28

100%/x%=458.28/6.65
(100/x)*x=(458.28/6.65)*x       - we multiply both sides of the equation by x
100=68.914285714286*x       - we divide both sides of the equation by (68.914285714286) to get x
100/68.914285714286=x
1.4510779436153=x
x=1.4510779436153

now we have:
6.65 is 1.4510779436153% of 458.28