#### Solution for 12 is what percent of 144:

12:144*100 =

(12*100):144 =

1200:144 = 8.33

Now we have: 12 is what percent of 144 = 8.33

Question: 12 is what percent of 144?

Percentage solution with steps:

Step 1: We make the assumption that 144 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\%}={144}.

Step 4: In the same vein, {x\%}={12}.

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

{100\%}={144}(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{144}{12}

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

\frac{x\%}{100\%}=\frac{12}{144}

\Rightarrow{x} = {8.33\%}

Therefore, {12} is {8.33\%} of {144}.

#### Solution for 144 is what percent of 12:

144:12*100 =

(144*100):12 =

14400:12 = 1200

Now we have: 144 is what percent of 12 = 1200

Question: 144 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\%}={144}.

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

{100\%}={12}(1).

{x\%}={144}(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}{144}

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

\frac{x\%}{100\%}=\frac{144}{12}

\Rightarrow{x} = {1200\%}

Therefore, {144} is {1200\%} of {12}.

Calculation Samples