Explanation:
always, always in % problems find what is the 100%, the regenerate for the rest.
from there you can make either direct calculations (shortcuts that we use, when we know what we are doing), or find 1% out of the 100% and then do the proper calculations.
this problem here says that
100% = $88.99 (the original price, our reference).
1% = 100%/100 = 88.99/100 = 0.8899
35% = 1%×35 = 0.8899 × 35 = $31.1465 ≈ $31.15
so, the sale price is
100% - 35% = 65%
65% = 1%×65 = 0.8899 × 65 = $57.8435 ≈ $58.84
$58.84 is the new sale price (before taxes).
as you can see, we could have done shortcuts, since we knew what to expect :
the new sales price is
88.99 × (1 - 0.35) = 88.99 × 0.65