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Solution for 822 is what percent of 82:

822:82*100 =

(822*100):82 =

82200:82 = 1002.44

Now we have: 822 is what percent of 82 = 1002.44

Question: 822 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\%}={822}.

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

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

{x\%}={822}(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}{822}

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

\frac{x\%}{100\%}=\frac{822}{82}

\Rightarrow{x} = {1002.44\%}

Therefore, {822} is {1002.44\%} of {82}.

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• 822 is what percent of 100 = 822

Solution for 82 is what percent of 822:

82:822*100 =

(82*100):822 =

8200:822 = 9.98

Now we have: 82 is what percent of 822 = 9.98

Question: 82 is what percent of 822?

Percentage solution with steps:

Step 1: We make the assumption that 822 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\%}={822}.

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

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

{100\%}={822}(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{822}{82}

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

\frac{x\%}{100\%}=\frac{82}{822}

\Rightarrow{x} = {9.98\%}

Therefore, {82} is {9.98\%} of {822}.