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Solution for 1006 is what percent of 82:

1006:82*100 =

(1006*100):82 =

100600:82 = 1226.83

Now we have: 1006 is what percent of 82 = 1226.83

Question: 1006 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\%}={1006}.

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

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

{x\%}={1006}(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}{1006}

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

\frac{x\%}{100\%}=\frac{1006}{82}

\Rightarrow{x} = {1226.83\%}

Therefore, {1006} is {1226.83\%} of {82}.

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Solution for 82 is what percent of 1006:

82:1006*100 =

(82*100):1006 =

8200:1006 = 8.15

Now we have: 82 is what percent of 1006 = 8.15

Question: 82 is what percent of 1006?

Percentage solution with steps:

Step 1: We make the assumption that 1006 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\%}={1006}.

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

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

{100\%}={1006}(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{1006}{82}

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

\frac{x\%}{100\%}=\frac{82}{1006}

\Rightarrow{x} = {8.15\%}

Therefore, {82} is {8.15\%} of {1006}.