#### Solution for 480 is what percent of 1440:

480:1440*100 =

(480*100):1440 =

48000:1440 = 33.33

Now we have: 480 is what percent of 1440 = 33.33

Question: 480 is what percent of 1440?

Percentage solution with steps:

Step 1: We make the assumption that 1440 is 100% since it is our output value.

Step 2: We next represent the value we seek with {x}.

Step 3: From step 1, it follows that {100\%}={1440}.

Step 4: In the same vein, {x\%}={480}.

Step 5: This gives us a pair of simple equations:

{100\%}={1440}(1).

{x\%}={480}(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have

\frac{100\%}{x\%}=\frac{1440}{480}

Step 7: Taking the inverse (or reciprocal) of both sides yields

\frac{x\%}{100\%}=\frac{480}{1440}

\Rightarrow{x} = {33.33\%}

Therefore, {480} is {33.33\%} of {1440}.

#### Solution for 1440 is what percent of 480:

1440:480*100 =

(1440*100):480 =

144000:480 = 300

Now we have: 1440 is what percent of 480 = 300

Question: 1440 is what percent of 480?

Percentage solution with steps:

Step 1: We make the assumption that 480 is 100% since it is our output value.

Step 2: We next represent the value we seek with {x}.

Step 3: From step 1, it follows that {100\%}={480}.

Step 4: In the same vein, {x\%}={1440}.

Step 5: This gives us a pair of simple equations:

{100\%}={480}(1).

{x\%}={1440}(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have

\frac{100\%}{x\%}=\frac{480}{1440}

Step 7: Taking the inverse (or reciprocal) of both sides yields

\frac{x\%}{100\%}=\frac{1440}{480}

\Rightarrow{x} = {300\%}

Therefore, {1440} is {300\%} of {480}.

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