There are 32 technicians working the day shift and 19 working the night shift. This means that the total number of technicians is:
[tex]32+19=51[/tex]Out of those 51 technicians, 19 work the night shift. As a fraction, the relation for the total of technicians that work the night shift would be:
[tex]\frac{19}{51}[/tex]To convert into a percentage, we multiply this fraction by 100:
[tex]\frac{19}{51}\cdot100=37.25[/tex]Thereby, 37.25% of the technicians work a night shift.