You know that

52 %

of a number, x, is

65.

You also know that

26 %

of a number, y, is

39.

What are the values of x and y? Which number is greater? Explain how you can find whether x or y is greater without finding their values.

So remember that percent means parts out of 100 so

52%=52/100=0.52

26%=26/100=0.26

'of' means multily

0.52 times x=65

divide both sides by 00.52

x=125

26% of a number is 39

0.26 times y=39

divide both sides by 0.26

y=150

x=125

y=150

y is greater

you know that becuase we know that 52% is exatly twice of 26% so therefor, if x=y then 52% of x is half of 26% of y so to compare them, we just divide the 65 number by 2 to find 26% of that number to get 65/2=32.5

32.5<39 so x is smaller number