Answer:
79.56%
Step-by-step explanation:
In year, 2019, 78% of people said they went out dancing at least one night a month.
Let number of people go for dancing be x
Let total number of people be y
Percentage of people go for dancing = 
Therefore, 


Recently, this number has increased by only 2%.
New number of people go for dancing = x + 2% of x
= 
= 
New percentage go for dancing in a month 


Hence, 79.56% of people go out dancing once a month.