68.23 is what percent of 464.85 - 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 464.85 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 464.85, so we can write it down as 100%=464.85.
4. We know, that x% equals 68.23 of the output value, so we can write it down as x%=68.23.
5. Now we have two simple equations:
1) 100%=464.85
2) x%=68.23
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%=464.85/68.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 68.23 is what percent of 464.85

100%/x%=464.85/68.23
(100/x)*x=(464.85/68.23)*x       - we multiply both sides of the equation by x
100=6.8129854902536*x       - we divide both sides of the equation by (6.8129854902536) to get x
100/6.8129854902536=x
14.677853070883=x
x=14.677853070883

now we have:
68.23 is 14.677853070883% of 464.85