#### Solution for 466 is what percent of 6:

466:6*100 =

(466*100):6 =

46600:6 = 7766.67

Now we have: 466 is what percent of 6 = 7766.67

Question: 466 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\%}={466}.

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

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

{x\%}={466}(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}{466}

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

\frac{x\%}{100\%}=\frac{466}{6}

\Rightarrow{x} = {7766.67\%}

Therefore, {466} is {7766.67\%} of {6}.

#### Solution for 6 is what percent of 466:

6:466*100 =

(6*100):466 =

600:466 = 1.29

Now we have: 6 is what percent of 466 = 1.29

Question: 6 is what percent of 466?

Percentage solution with steps:

Step 1: We make the assumption that 466 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\%}={466}.

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

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

{100\%}={466}(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{466}{6}

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

\frac{x\%}{100\%}=\frac{6}{466}

\Rightarrow{x} = {1.29\%}

Therefore, {6} is {1.29\%} of {466}.

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