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Verified Answer :

75/150 = 1/2=50/100=50%

  1. We assume, that the number 150 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 150, so we can write it down as 100%=150. 
    4. We know, that x% equals 75 of the output value, so we can write it down as x%=75. 
    5. Now we have two simple equations:
    1) 100%=150
    2) x%=75
    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%=150/75
    6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

    7. Solution for 75 is what percent of 150

    100%/x%=150/75
    (100/x)x=(150/75)x       - we multiply both sides of the equation by x
    100=2*x       - we divide both sides of the equation by (2) to get x
    100/2=x 
    50=x 
    x=50

    now we have: 
    75 is 50% of 150