11.25 is what percent of 351.6 - 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 351.6 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 351.6, so we can write it down as 100%=351.6.
4. We know, that x% equals 11.25 of the output value, so we can write it down as x%=11.25.
5. Now we have two simple equations:
1) 100%=351.6
2) x%=11.25
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%=351.6/11.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.25 is what percent of 351.6

100%/x%=351.6/11.25
(100/x)*x=(351.6/11.25)*x       - we multiply both sides of the equation by x
100=31.253333333333*x       - we divide both sides of the equation by (31.253333333333) to get x
100/31.253333333333=x
3.1996587030717=x
x=3.1996587030717

now we have:
11.25 is 3.1996587030717% of 351.6