72.75 is what percent of 470.4 - 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 470.4 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 470.4, so we can write it down as 100%=470.4.
4. We know, that x% equals 72.75 of the output value, so we can write it down as x%=72.75.
5. Now we have two simple equations:
1) 100%=470.4
2) x%=72.75
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%=470.4/72.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 72.75 is what percent of 470.4

100%/x%=470.4/72.75
(100/x)*x=(470.4/72.75)*x       - we multiply both sides of the equation by x
100=6.4659793814433*x       - we divide both sides of the equation by (6.4659793814433) to get x
100/6.4659793814433=x
15.46556122449=x
x=15.46556122449

now we have:
72.75 is 15.46556122449% of 470.4