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Solution for 120 is what percent of 1440:

120:1440*100 =

(120*100):1440 =

12000:1440 = 8.33

Now we have: 120 is what percent of 1440 = 8.33

Question: 120 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\%}={120}.

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

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

{x\%}={120}(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}{120}

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

\frac{x\%}{100\%}=\frac{120}{1440}

\Rightarrow{x} = {8.33\%}

Therefore, {120} is {8.33\%} of {1440}.

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Solution for 1440 is what percent of 120:

1440:120*100 =

(1440*100):120 =

144000:120 = 1200

Now we have: 1440 is what percent of 120 = 1200

Question: 1440 is what percent of 120?

Percentage solution with steps:

Step 1: We make the assumption that 120 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\%}={120}.

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

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

{100\%}={120}(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{120}{1440}

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

\frac{x\%}{100\%}=\frac{1440}{120}

\Rightarrow{x} = {1200\%}

Therefore, {1440} is {1200\%} of {120}.