Answer :

they lost 20 games, 20/75 which is .26666667 rounded and put into a percent would be 27%
If they won 55 of the games, that means they lost the rest of the 75.  So,
75 - 55 = 20 games lost.  To find the percentage of 20 out of 75, you set up a proportion:

[tex]\frac{20}{75}=\frac{x}{100}[/tex]

where x = the percentage of games lost.  Cross multiply and divide to isolate the x:

[tex]\frac{20}{75}=\frac{x}{100}\\75x=2000\\75x/75=2000/75\\x=26.6666667[/tex]

Rounded to the nearest hundredth, the Royals lost 26.667 % of their games.