#### Solution for 12 is what percent of 20.:

12:20.*100 =

(12*100):20. =

1200:20. = 60

Now we have: 12 is what percent of 20. = 60

Question: 12 is what percent of 20.?

Percentage solution with steps:

Step 1: We make the assumption that 20. 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.}.

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

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

{100\%}={20.}(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.}{12}

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

\frac{x\%}{100\%}=\frac{12}{20.}

\Rightarrow{x} = {60\%}

Therefore, {12} is {60\%} of {20.}.

#### Solution for 20. is what percent of 12:

20.:12*100 =

(20.*100):12 =

2000:12 = 166.66666666667

Now we have: 20. is what percent of 12 = 166.66666666667

Question: 20. 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.}.

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

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

{x\%}={20.}(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.}

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

\frac{x\%}{100\%}=\frac{20.}{12}

\Rightarrow{x} = {166.66666666667\%}

Therefore, {20.} is {166.66666666667\%} of {12}.

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