Question

What percent of 45 is 135? explain your reasoning

Answer 1

The answer is: " 300 " .

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→ " 300 % " of 45 is " 135 " .

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Step-by-step explanation:

To solve:

`(x)/(100)` *
`(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:

`(x)/(20)` *
`(9)/(1)` = 135 ;

→ Note: "
`(9)/(1)` " = 90 ;

→ So; we rewrite as:

`(x)/(20)` * 9 = 135 ;

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

{ (
`(x)/(20)` * 9 ) / 9 ) } = {135 / 9 } ;

to get:

`(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 * {
`(x)/(20)`} = 15 * 20 ;

to get:

→ x = 300 .

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The answer is: " 300 " .

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→ " 300 % " of 45 is " 135 " .

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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%.