Positive number z

Positive number z is 10% greater than the number y. How many % is y smaller than z? Report the result rounded to one decimal place.

Result

p =  9.1 %

Solution:

z=1.1y  p=(z−y)/z⋅100=100(1−y/z)=100(1−y/z)=100(1−1/1.1)z = 1.1 y \ \\ \ \\ p = (z-y)/z \cdot 100 = 100(1 - y/z) = 100(1 - y/z) = 100(1-1/1.1)

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