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Solution for 1009 is what percent of 82:

1009:82*100 =

(1009*100):82 =

100900:82 = 1230.49

Now we have: 1009 is what percent of 82 = 1230.49

Question: 1009 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\%}={1009}.

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

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

{x\%}={1009}(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}{1009}

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

\frac{x\%}{100\%}=\frac{1009}{82}

\Rightarrow{x} = {1230.49\%}

Therefore, {1009} is {1230.49\%} of {82}.

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• 1009 is what percent of 100 = 1009

Solution for 82 is what percent of 1009:

82:1009*100 =

(82*100):1009 =

8200:1009 = 8.13

Now we have: 82 is what percent of 1009 = 8.13

Question: 82 is what percent of 1009?

Percentage solution with steps:

Step 1: We make the assumption that 1009 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\%}={1009}.

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

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

{100\%}={1009}(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{1009}{82}

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

\frac{x\%}{100\%}=\frac{82}{1009}

\Rightarrow{x} = {8.13\%}

Therefore, {82} is {8.13\%} of {1009}.