Find B if P = 112 and R= 77 7/9%

Question

find  B if P-112 and R =77 7/9 % what B =

Answer 1

percentage=rate*base

P=R*B

112=77 7/9%*B

change 77 7/9% to a fraction first

77 7/9%=(77 7/9)/100

change 77 7/9 to an improper fraction (9*77+7 over 9)

(700/9)/100=700/900=7/9

112=(7/9)*B

multiply both sides by (9/7)

(9/7)(7/9)*B=(9/7)*(112)

B=9*16

B=144

check: (7/9)*144=7*16=112