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Verified Answer :

  1. We assume, that the number 51 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 51, so we can write it down as 100%=51.
    4. We know, that x% equals 34 of the output value, so we can write it down as x%=34.
    5. Now we have two simple equations:
    1) 100%=51
    2) x%=34
    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%=51/34
    6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

    7. Solution for 34 is what percent of 51

    100%/x%=51/34
    (100/x)x=(51/34)x - we multiply both sides of the equation by x
    100=1.5*x - we divide both sides of the equation by (1.5) to get x
    100/1.5=x
    66.6666666667=x
    x=66.6666666667

    now we have:
    34 is 66.6666666667% of 51

34% is equal to 0.34 and  n stands for the missing number the word of implies multiplication so n * 0.34 = 51

use the inverse operation of multiplication, division to get n by itself so n= 51 / 0.34

51 / 0.34 = 150

150=n