#### Solution for 12 is what percent of 55:

12:55*100 =

(12*100):55 =

1200:55 = 21.82

Now we have: 12 is what percent of 55 = 21.82

Question: 12 is what percent of 55?

Percentage solution with steps:

Step 1: We make the assumption that 55 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\%}={55}.

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

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

{100\%}={55}(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{55}{12}

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

\frac{x\%}{100\%}=\frac{12}{55}

\Rightarrow{x} = {21.82\%}

Therefore, {12} is {21.82\%} of {55}.

#### Solution for 55 is what percent of 12:

55:12*100 =

(55*100):12 =

5500:12 = 458.33

Now we have: 55 is what percent of 12 = 458.33

Question: 55 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\%}={55}.

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

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

{x\%}={55}(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}{55}

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

\frac{x\%}{100\%}=\frac{55}{12}

\Rightarrow{x} = {458.33\%}

Therefore, {55} is {458.33\%} of {12}.

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