#### Solution for 82 is what percent of 2016:

82:2016*100 =

(82*100):2016 =

8200:2016 = 4.07

Now we have: 82 is what percent of 2016 = 4.07

Question: 82 is what percent of 2016?

Percentage solution with steps:

Step 1: We make the assumption that 2016 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\%}={2016}.

Step 4: In the same vein, {x\%}={82}.

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

{100\%}={2016}(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{2016}{82}

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

\frac{x\%}{100\%}=\frac{82}{2016}

\Rightarrow{x} = {4.07\%}

Therefore, {82} is {4.07\%} of {2016}.

#### Solution for 2016 is what percent of 82:

2016:82*100 =

(2016*100):82 =

201600:82 = 2458.54

Now we have: 2016 is what percent of 82 = 2458.54

Question: 2016 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\%}={2016}.

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

{100\%}={82}(1).

{x\%}={2016}(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}{2016}

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

\frac{x\%}{100\%}=\frac{2016}{82}

\Rightarrow{x} = {2458.54\%}

Therefore, {2016} is {2458.54\%} of {82}.

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