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Solution for 823 is what percent of 82:

823:82*100 =

(823*100):82 =

82300:82 = 1003.66

Now we have: 823 is what percent of 82 = 1003.66

Question: 823 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\%}={823}.

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

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

{x\%}={823}(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}{823}

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

\frac{x\%}{100\%}=\frac{823}{82}

\Rightarrow{x} = {1003.66\%}

Therefore, {823} is {1003.66\%} of {82}.

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• 823 is what percent of 100 = 823

Solution for 82 is what percent of 823:

82:823*100 =

(82*100):823 =

8200:823 = 9.96

Now we have: 82 is what percent of 823 = 9.96

Question: 82 is what percent of 823?

Percentage solution with steps:

Step 1: We make the assumption that 823 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\%}={823}.

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

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

{100\%}={823}(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{823}{82}

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

\frac{x\%}{100\%}=\frac{82}{823}

\Rightarrow{x} = {9.96\%}

Therefore, {82} is {9.96\%} of {823}.