#### Solution for 12 is what percent of 20.00:

12:20.00*100 =

(12*100):20.00 =

1200:20.00 = 60

Now we have: 12 is what percent of 20.00 = 60

Question: 12 is what percent of 20.00?

Percentage solution with steps:

Step 1: We make the assumption that 20.00 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\%}={20.00}.

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

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

{100\%}={20.00}(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{20.00}{12}

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

\frac{x\%}{100\%}=\frac{12}{20.00}

\Rightarrow{x} = {60\%}

Therefore, {12} is {60\%} of {20.00}.

#### Solution for 20.00 is what percent of 12:

20.00:12*100 =

(20.00*100):12 =

2000:12 = 166.66666666667

Now we have: 20.00 is what percent of 12 = 166.66666666667

Question: 20.00 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\%}={20.00}.

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

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

{x\%}={20.00}(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}{20.00}

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

\frac{x\%}{100\%}=\frac{20.00}{12}

\Rightarrow{x} = {166.66666666667\%}

Therefore, {20.00} is {166.66666666667\%} of {12}.

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