Percents Word Problem Translation

Hi All,

Question: "x is what percent of y percent of z, in terms of x,y,z"

Y percent of z = $\displaystyle \frac{y}{100}.z$

X percent of y percent of z = $\displaystyle \frac{w}{100}.\frac{y}{100}.z$

This is where it gets confusing for me.

This translates to x = $\displaystyle \frac{w(\frac{yz}{100})}{100}$

Question one: I'm not sure how $\displaystyle \frac{w}{100}.\frac{y}{100}.z$ transforms into $\displaystyle \frac{w(\frac{yz}{100})}{100}$

Question two: I'm not sure how $\displaystyle \frac{w(\frac{yz}{100})}{100}$ transforms into $\displaystyle w = \frac{100x}{\frac{yz}{100}}$

Question three: I'm not sure how $\displaystyle w = \frac{100x}{\frac{yz}{100}}$transforms into $\displaystyle w = \frac{10,000x}{yz} $

There just seems to be jumps in logic that I'm not getting.

Thx,

D