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What is the significance of Lomb-scargle power (y-axis)?

I have two data sets. For each plot, above plot is Lomb-scargle periodogram of the lower plot (original data).

The first data set has an amplitude of ~ 300, oscillating between (200, 800). It has lomb-scargle power of 0.022 in peaks.

The first data set has an amplitude of ~ 50, oscillating between (700, 600). It has lomb-scargle power of 0.20 in peaks.

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enter image description here

How should I interpret the significance of the lomb-scargle power? In FFT, the amplitude in Fourier transformed plot was directly related to the amplitude of the original plot, but it seems that the relationship is the opposite in Lomb-scargle?

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