#### Solution for 82 is what percent of 8204:

82:8204*100 =

(82*100):8204 =

8200:8204 = 1

Now we have: 82 is what percent of 8204 = 1

Question: 82 is what percent of 8204?

Percentage solution with steps:

Step 1: We make the assumption that 8204 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\%}={8204}.

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

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

{100\%}={8204}(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{8204}{82}

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

\frac{x\%}{100\%}=\frac{82}{8204}

\Rightarrow{x} = {1\%}

Therefore, {82} is {1\%} of {8204}.

#### Solution for 8204 is what percent of 82:

8204:82*100 =

(8204*100):82 =

820400:82 = 10004.88

Now we have: 8204 is what percent of 82 = 10004.88

Question: 8204 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\%}={8204}.

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

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

{x\%}={8204}(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}{8204}

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

\frac{x\%}{100\%}=\frac{8204}{82}

\Rightarrow{x} = {10004.88\%}

Therefore, {8204} is {10004.88\%} of {82}.

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