Question

What percent of 45 is 135? explain your reasoning

Answer 1

The answer is: " 300 " .

_____________________

→ " 300 % " of 45 is " 135 " .

_____________________

Explanation:

To solve:

$\frac{x}{100}$ * $\frac{45}{1}$ = 135 .

→ The "100" cancels out to a "20" ; and the "45" cancels out to a "9" ;

→ {since: "100 ÷ 5 = 20" ; and since: "45 ÷ 5 = 9" } ;

→ So; we rewrite as:

$\frac{x}{20}$ * $\frac{9}{1}$ = 135 ;

→ Note: "$\frac{9}{1}$ " = 90 ;

→ So; we rewrite as:

$\frac{x}{20}$ * 9 = 135 ;

→ Now. divide each side of the equation by "9" ; to further simplify the problem; as follows:

{ ( $\frac{x}{20}$ * 9 ) / 9 ) } = {135 / 9 } ;

to get:

$\frac{x}{20}$ = 15 ;

Now, multiply EACH SIDE of the equation by "20" ;

→ to isolate "x" on one side of the equation; & to solve for "x" ;

→ 20 * {$\frac{x}{20}$} = 15 * 20 ;

to get:

→ x = 300 .

_____________________

The answer is: " 300 " .

_____________________

→ " 300 % " of 45 is " 135 " .

_____________________

Answer 2

X/100=135/45

x=300

The reasoning:
x represents the unknown present, which is over 100. 45 represents the whole, where as 135 is the part. Therefore, if you solve this proportion, x will equal 300%.