305.68 is what percent of 467 - 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 467 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 467, so we can write it down as 100%=467.
4. We know, that x% equals 305.68 of the output value, so we can write it down as x%=305.68.
5. Now we have two simple equations:
1) 100%=467
2) x%=305.68
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%=467/305.68
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 305.68 is what percent of 467

100%/x%=467/305.68
(100/x)*x=(467/305.68)*x       - we multiply both sides of the equation by x
100=1.5277414289453*x       - we divide both sides of the equation by (1.5277414289453) to get x
100/1.5277414289453=x
65.456102783726=x
x=65.456102783726

now we have:
305.68 is 65.456102783726% of 467