#### Solution for 12 is what percent of 1440:

12:1440*100 =

(12*100):1440 =

1200:1440 = 0.83

Now we have: 12 is what percent of 1440 = 0.83

Question: 12 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\%}={12}.

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

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

{x\%}={12}(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}{12}

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

\frac{x\%}{100\%}=\frac{12}{1440}

\Rightarrow{x} = {0.83\%}

Therefore, {12} is {0.83\%} of {1440}.

#### Solution for 1440 is what percent of 12:

1440:12*100 =

(1440*100):12 =

144000:12 = 12000

Now we have: 1440 is what percent of 12 = 12000

Question: 1440 is what percent of 12?

Percentage solution with steps:

Step 1: We make the assumption that 12 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\%}={12}.

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

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

{100\%}={12}(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{12}{1440}

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

\frac{x\%}{100\%}=\frac{1440}{12}

\Rightarrow{x} = {12000\%}

Therefore, {1440} is {12000\%} of {12}.

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