#### Solution for 12 is what percent of 150:

12:150*100 =

(12*100):150 =

1200:150 = 8

Now we have: 12 is what percent of 150 = 8

Question: 12 is what percent of 150?

Percentage solution with steps:

Step 1: We make the assumption that 150 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\%}={150}.

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

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

{100\%}={150}(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{150}{12}

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

\frac{x\%}{100\%}=\frac{12}{150}

\Rightarrow{x} = {8\%}

Therefore, {12} is {8\%} of {150}.

#### Solution for 150 is what percent of 12:

150:12*100 =

(150*100):12 =

15000:12 = 1250

Now we have: 150 is what percent of 12 = 1250

Question: 150 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\%}={150}.

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

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

{x\%}={150}(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}{150}

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

\frac{x\%}{100\%}=\frac{150}{12}

\Rightarrow{x} = {1250\%}

Therefore, {150} is {1250\%} of {12}.

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