In order to determine the percent increase, proceed as follow:
Subtract 165 to 178:
178 - 165 = 13
Now, consider that 13 is the x percent of 165, then, you can write:
[tex]\frac{x}{100}\cdot165=13[/tex]by solving for x and by simplifying, you have:
[tex]x=13\cdot\frac{100}{165}\approx7.8[/tex]Hence, the percent increase is approximately 7.8%