#### Solution for 509 is what percent of 6:

509:6*100 =

(509*100):6 =

50900:6 = 8483.33

Now we have: 509 is what percent of 6 = 8483.33

Question: 509 is what percent of 6?

Percentage solution with steps:

Step 1: We make the assumption that 6 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\%}={6}.

Step 4: In the same vein, {x\%}={509}.

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

{100\%}={6}(1).

{x\%}={509}(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{6}{509}

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

\frac{x\%}{100\%}=\frac{509}{6}

\Rightarrow{x} = {8483.33\%}

Therefore, {509} is {8483.33\%} of {6}.

#### Solution for 6 is what percent of 509:

6:509*100 =

(6*100):509 =

600:509 = 1.18

Now we have: 6 is what percent of 509 = 1.18

Question: 6 is what percent of 509?

Percentage solution with steps:

Step 1: We make the assumption that 509 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\%}={509}.

Step 4: In the same vein, {x\%}={6}.

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

{100\%}={509}(1).

{x\%}={6}(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{509}{6}

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

\frac{x\%}{100\%}=\frac{6}{509}

\Rightarrow{x} = {1.18\%}

Therefore, {6} is {1.18\%} of {509}.

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