#### Solution for 6 is what percent of 230:

6:230*100 =

(6*100):230 =

600:230 = 2.61

Now we have: 6 is what percent of 230 = 2.61

Question: 6 is what percent of 230?

Percentage solution with steps:

Step 1: We make the assumption that 230 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\%}={230}.

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

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

{100\%}={230}(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{230}{6}

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

\frac{x\%}{100\%}=\frac{6}{230}

\Rightarrow{x} = {2.61\%}

Therefore, {6} is {2.61\%} of {230}.

#### Solution for 230 is what percent of 6:

230:6*100 =

(230*100):6 =

23000:6 = 3833.33

Now we have: 230 is what percent of 6 = 3833.33

Question: 230 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\%}={230}.

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

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

{x\%}={230}(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}{230}

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

\frac{x\%}{100\%}=\frac{230}{6}

\Rightarrow{x} = {3833.33\%}

Therefore, {230} is {3833.33\%} of {6}.

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