#### Solution for 123 is what percent of 8209:

123:8209*100 =

(123*100):8209 =

12300:8209 = 1.5

Now we have: 123 is what percent of 8209 = 1.5

Question: 123 is what percent of 8209?

Percentage solution with steps:

Step 1: We make the assumption that 8209 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\%}={8209}.

Step 4: In the same vein, {x\%}={123}.

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

{100\%}={8209}(1).

{x\%}={123}(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{8209}{123}

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

\frac{x\%}{100\%}=\frac{123}{8209}

\Rightarrow{x} = {1.5\%}

Therefore, {123} is {1.5\%} of {8209}.

#### Solution for 8209 is what percent of 123:

8209:123*100 =

(8209*100):123 =

820900:123 = 6673.98

Now we have: 8209 is what percent of 123 = 6673.98

Question: 8209 is what percent of 123?

Percentage solution with steps:

Step 1: We make the assumption that 123 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\%}={123}.

Step 4: In the same vein, {x\%}={8209}.

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

{100\%}={123}(1).

{x\%}={8209}(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{123}{8209}

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

\frac{x\%}{100\%}=\frac{8209}{123}

\Rightarrow{x} = {6673.98\%}

Therefore, {8209} is {6673.98\%} of {123}.

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