10.9 is what percent of 505 - 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 505 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 505, so we can write it down as 100%=505.
4. We know, that x% equals 10.9 of the output value, so we can write it down as x%=10.9.
5. Now we have two simple equations:
1) 100%=505
2) x%=10.9
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%=505/10.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.9 is what percent of 505

100%/x%=505/10.9
(100/x)*x=(505/10.9)*x       - we multiply both sides of the equation by x
100=46.330275229358*x       - we divide both sides of the equation by (46.330275229358) to get x
100/46.330275229358=x
2.1584158415842=x
x=2.1584158415842

now we have:
10.9 is 2.1584158415842% of 505