There are 32 technicians working the day shift and 19 working the night shift. This means that the total number of technicians is:
![32+19=51](https://img.qammunity.org/2023/formulas/mathematics/college/bzzv239vzata3jvl4vk9mfapcinghozfsr.png)
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:
![(19)/(51)](https://img.qammunity.org/2023/formulas/mathematics/college/o4awq9o0uhokbpl6i38wf5d7xnkslvenz1.png)
To convert into a percentage, we multiply this fraction by 100:
![(19)/(51)\cdot100=37.25](https://img.qammunity.org/2023/formulas/mathematics/college/lc8qn7utu9iz50wrdzs11mn5k1kd8ipn0i.png)
Thereby, 37.25% of the technicians work a night shift.