304.96 is what percent of 467.75 - 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 467.75 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 467.75, so we can write it down as 100%=467.75.
4. We know, that x% equals 304.96 of the output value, so we can write it down as x%=304.96.
5. Now we have two simple equations:
1) 100%=467.75
2) x%=304.96
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%=467.75/304.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 304.96 is what percent of 467.75

100%/x%=467.75/304.96
(100/x)*x=(467.75/304.96)*x       - we multiply both sides of the equation by x
100=1.5338077124869*x       - we divide both sides of the equation by (1.5338077124869) to get x
100/1.5338077124869=x
65.197220737573=x
x=65.197220737573

now we have:
304.96 is 65.197220737573% of 467.75