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Verified Answer :

sydneypowell167
  1. We assume, that the number 122 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 122, so we can write it down as 100%=122. 
    4. We know, that x% equals 11 of the output value, so we can write it down as x%=11. 
    5. Now we have two simple equations:
    1) 100%=122
    2) x%=11
    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%=122/11
    6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

    7. Solution for 11 is what percent of 122

    100%/x%=122/11
    (100/x)x=(122/11)x       - we multiply both sides of the equation by x
    100=11.0909090909*x       - we divide both sides of the equation by (11.0909090909) to get x
    100/11.0909090909=x 
    9.01639344262=x 
    x=9.01639344262

    now we have: 
    11 is 9.01639344262% of 122

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