What is 1001 percent of 30.9 - 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 30.9 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 30.9 is 100%, so we can write it down as 30.9=100%.
4. We know, that x is 1001% of the output value, so we can write it down as x=1001%.
5. Now we have two simple equations:
1) 30.9=100%
2) x=1001%
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:
30.9/x=100%/1001%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 1001% of 30.9

30.9/x=100/1001
(30.9/x)*x=(100/1001)*x       - we multiply both sides of the equation by x
30.9=0.0999000999001*x       - we divide both sides of the equation by (0.0999000999001) to get x
30.9/0.0999000999001=x
309.309=x
x=309.309

now we have:
1001% of 30.9=309.309