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Solution for 12 is what percent of 82:

12:82*100 =

( 12*100):82 =

1200:82 = 14.63

Now we have: 12 is what percent of 82 = 14.63

Question: 12 is what percent of 82?

Percentage solution with steps:

Step 1: We make the assumption that 82 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\%}={82}.

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

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

{100\%}={82}(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{82}{ 12}

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

\frac{x\%}{100\%}=\frac{ 12}{82}

\Rightarrow{x} = {14.63\%}

Therefore, { 12} is {14.63\%} of {82}.

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Solution for 82 is what percent of 12:

82: 12*100 =

(82*100): 12 =

8200: 12 = 683.33

Now we have: 82 is what percent of 12 = 683.33

Question: 82 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\%}={82}.

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

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

{x\%}={82}(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}{82}

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

\frac{x\%}{100\%}=\frac{82}{ 12}

\Rightarrow{x} = {683.33\%}

Therefore, {82} is {683.33\%} of { 12}.