1002.44 is what percent of 11002.44 - 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 11002.44 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 11002.44, so we can write it down as 100%=11002.44.
4. We know, that x% equals 1002.44 of the output value, so we can write it down as x%=1002.44.
5. Now we have two simple equations:
1) 100%=11002.44
2) x%=1002.44
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%=11002.44/1002.44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1002.44 is what percent of 11002.44

100%/x%=11002.44/1002.44
(100/x)*x=(11002.44/1002.44)*x       - we multiply both sides of the equation by x
100=10.975659391086*x       - we divide both sides of the equation by (10.975659391086) to get x
100/10.975659391086=x
9.1110699081295=x
x=9.1110699081295

now we have:
1002.44 is 9.1110699081295% of 11002.44