72.9 is what percent of 280.4 - 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 280.4 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 280.4, so we can write it down as 100%=280.4.
4. We know, that x% equals 72.9 of the output value, so we can write it down as x%=72.9.
5. Now we have two simple equations:
1) 100%=280.4
2) x%=72.9
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%=280.4/72.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 72.9 is what percent of 280.4

100%/x%=280.4/72.9
(100/x)*x=(280.4/72.9)*x       - we multiply both sides of the equation by x
100=3.8463648834019*x       - we divide both sides of the equation by (3.8463648834019) to get x
100/3.8463648834019=x
25.998573466476=x
x=25.998573466476

now we have:
72.9 is 25.998573466476% of 280.4