#### Solution for 12.82 is what percent of 2:

12.82:2*100 =

(12.82*100):2 =

1282:2 = 641

Now we have: 12.82 is what percent of 2 = 641

Question: 12.82 is what percent of 2?

Percentage solution with steps:

Step 1: We make the assumption that 2 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\%}={2}.

Step 4: In the same vein, {x\%}={12.82}.

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

{100\%}={2}(1).

{x\%}={12.82}(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{2}{12.82}

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

\frac{x\%}{100\%}=\frac{12.82}{2}

\Rightarrow{x} = {641\%}

Therefore, {12.82} is {641\%} of {2}.

#### Solution for 2 is what percent of 12.82:

2:12.82*100 =

(2*100):12.82 =

200:12.82 = 15.600624024961

Now we have: 2 is what percent of 12.82 = 15.600624024961

Question: 2 is what percent of 12.82?

Percentage solution with steps:

Step 1: We make the assumption that 12.82 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\%}={12.82}.

Step 4: In the same vein, {x\%}={2}.

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

{100\%}={12.82}(1).

{x\%}={2}(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}{2}

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

\frac{x\%}{100\%}=\frac{2}{12.82}

\Rightarrow{x} = {15.600624024961\%}

Therefore, {2} is {15.600624024961\%} of {12.82}.

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