461.54 is what percent of 6.69 - 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 6.69 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 6.69, so we can write it down as 100%=6.69.
4. We know, that x% equals 461.54 of the output value, so we can write it down as x%=461.54.
5. Now we have two simple equations:
1) 100%=6.69
2) x%=461.54
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%=6.69/461.54
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 461.54 is what percent of 6.69

100%/x%=6.69/461.54
(100/x)*x=(6.69/461.54)*x       - we multiply both sides of the equation by x
100=0.014494951683494*x       - we divide both sides of the equation by (0.014494951683494) to get x
100/0.014494951683494=x
6898.9536621824=x
x=6898.9536621824

now we have:
461.54 is 6898.9536621824% of 6.69