16 2/3% of what number is 45

Convert 16 and 2/3 to impropoer

16 and 2/3=50/3

percent means parts out of 100

16 and 2/3% = (16 and 2/3) / 100 = (50/3) / 100=50/300=1/6

'of' means multiply

therefor we translate

16 and 2/3% of what is 45

1/6 times what=45

multiply bth sdies by 6/1 to clear fractio (1/6 times 6/1=6/6=1)

what=270

the number si 270