#"Percent of element by mass" = ("Total mass of element")/("Total mass of compound")*100#
For #M_2O_3#, we have #53=(2M)/(2M+3(16))*100=(2M)/(2M+48)*100#
#(2M)/(2M+48)=53/100=0.53#
#2M=0.53(2M+48)=1.06M+25.44#
#2M-1.06M=0.94M#
#0.94M=25.44#
#M=25.44/0.96=26.5~~27#
#27 = B#