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Solution for 82 is what percent of 2004:

82:2004*100 =

(82*100):2004 =

8200:2004 = 4.09

Now we have: 82 is what percent of 2004 = 4.09

Question: 82 is what percent of 2004?

Percentage solution with steps:

Step 1: We make the assumption that 2004 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\%}={2004}.

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

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

{100\%}={2004}(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{2004}{82}

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

\frac{x\%}{100\%}=\frac{82}{2004}

\Rightarrow{x} = {4.09\%}

Therefore, {82} is {4.09\%} of {2004}.

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Solution for 2004 is what percent of 82:

2004:82*100 =

(2004*100):82 =

200400:82 = 2443.9

Now we have: 2004 is what percent of 82 = 2443.9

Question: 2004 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\%}={2004}.

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

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

{x\%}={2004}(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}{2004}

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

\frac{x\%}{100\%}=\frac{2004}{82}

\Rightarrow{x} = {2443.9\%}

Therefore, {2004} is {2443.9\%} of {82}.