44.56 is what percent of 405 - 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 405 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 405, so we can write it down as 100%=405.
4. We know, that x% equals 44.56 of the output value, so we can write it down as x%=44.56.
5. Now we have two simple equations:
1) 100%=405
2) x%=44.56
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%=405/44.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 44.56 is what percent of 405

100%/x%=405/44.56
(100/x)*x=(405/44.56)*x       - we multiply both sides of the equation by x
100=9.088868940754*x       - we divide both sides of the equation by (9.088868940754) to get x
100/9.088868940754=x
11.002469135802=x
x=11.002469135802

now we have:
44.56 is 11.002469135802% of 405