209.25 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 209.25 of the output value, so we can write it down as x%=209.25.
5. Now we have two simple equations:
1) 100%=1472
2) x%=209.25
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%=1472/209.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 209.25 is what percent of 1472

100%/x%=1472/209.25
(100/x)*x=(1472/209.25)*x       - we multiply both sides of the equation by x
100=7.0346475507766*x       - we divide both sides of the equation by (7.0346475507766) to get x
100/7.0346475507766=x
14.21535326087=x
x=14.21535326087

now we have:
209.25 is 14.21535326087% of 1472