Are these two representations of MAPE equal and correct?

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Just came across two equations that claim to represent the Mean Absolute Percentage Error.

One is as follows (Source)

$$ \mathrm{MAPE}\left(y,\hat{y}\right)=\frac{1}{n_{\mathrm{samples}}}\sum_{i=0}^{n_{\mathrm{samples}}-1}\frac{\left|y_i-\widehat{y_i}\right|}{max\left(\epsilon,\left|y_i\right|\right)} $$

and the other one, from Caiado, J. (2011). Métodos de Previsão em Gestão-Com Aplicações em Excel. Edições Sílabo, Lisboa, as follows

$$ \mathrm{MAPE}=\frac{1}{m}\sum_{t=1}^{m}\left|\frac{y_t-{P_t}}{y_t}\right|\times100 $$

By looking at both of them, and knowing that MAPE is a percentage, I wonder if the output of the first equation is a percentage even though x100 is not explicit?

Do both of the functions represent the same thing, in this case, the MAPE?