11.25 is what percent of 513.2 - 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 513.2 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 513.2, so we can write it down as 100%=513.2.
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%=513.2
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%=513.2/11.25
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 513.2

100%/x%=513.2/11.25
(100/x)*x=(513.2/11.25)*x       - we multiply both sides of the equation by x
100=45.617777777778*x       - we divide both sides of the equation by (45.617777777778) to get x
100/45.617777777778=x
2.1921278254092=x
x=2.1921278254092

now we have:
11.25 is 2.1921278254092% of 513.2