We can solve the problem in two equivalent ways:
if we compute the 45% of the price, we have
[tex]320\cdot \dfrac{45}{100} = 14.4[/tex]
and we subtract the discount from the original price:
[tex]320-144=176[/tex]
Alternatively, we can think as follows: if we discount the 45%, it means that we pay the remaining 55%, i.e. we pay
[tex]320\cdot \dfrac{55}{100} = 176[/tex]
