#### Solution for 209 is what percent of 1029:

209:1029*100 =

(209*100):1029 =

20900:1029 = 20.31

Now we have: 209 is what percent of 1029 = 20.31

Question: 209 is what percent of 1029?

Percentage solution with steps:

Step 1: We make the assumption that 1029 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\%}={1029}.

Step 4: In the same vein, {x\%}={209}.

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

{100\%}={1029}(1).

{x\%}={209}(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{1029}{209}

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

\frac{x\%}{100\%}=\frac{209}{1029}

\Rightarrow{x} = {20.31\%}

Therefore, {209} is {20.31\%} of {1029}.

#### Solution for 1029 is what percent of 209:

1029:209*100 =

(1029*100):209 =

102900:209 = 492.34

Now we have: 1029 is what percent of 209 = 492.34

Question: 1029 is what percent of 209?

Percentage solution with steps:

Step 1: We make the assumption that 209 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\%}={209}.

Step 4: In the same vein, {x\%}={1029}.

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

{100\%}={209}(1).

{x\%}={1029}(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{209}{1029}

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

\frac{x\%}{100\%}=\frac{1029}{209}

\Rightarrow{x} = {492.34\%}

Therefore, {1029} is {492.34\%} of {209}.

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