247.5 is what percent of 1472 - 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 1472 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 1472, so we can write it down as 100%=1472.
4. We know, that x% equals 247.5 of the output value, so we can write it down as x%=247.5.
5. Now we have two simple equations:
1) 100%=1472
2) x%=247.5
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%=1472/247.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 247.5 is what percent of 1472

100%/x%=1472/247.5
(100/x)*x=(1472/247.5)*x       - we multiply both sides of the equation by x
100=5.9474747474747*x       - we divide both sides of the equation by (5.9474747474747) to get x
100/5.9474747474747=x
16.813858695652=x
x=16.813858695652

now we have:
247.5 is 16.813858695652% of 1472