If x is x% of y, and y is y% of z, where x, y, and z are positive real numbers, what is z?

Source: Crux Mathematicorum

From the 2nd equation,

y = (y/100)*z

Since y is not allowed to be zero (the puzzle requires it to be positive), just multiply by 100/y to get **z = 100**. Final answer.

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Note:

If x, y and z did not need to be positive, then the (x,y,z) could be (0,0, anything) or (0, anything, 100).

But, given the puzzle conditions, (x,y,z) need to be (anything positive, 100, 100).

*Edited on ***March 14, 2016, 4:01 pm**