#### Solution for 4.6 is what percent of 230:

4.6:230*100 =

( 4.6*100):230 =

460:230 = 2

Now we have: 4.6 is what percent of 230 = 2

Question: 4.6 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\%}={ 4.6}.

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

{100\%}={230}(1).

{x\%}={ 4.6}(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}{ 4.6}

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

\frac{x\%}{100\%}=\frac{ 4.6}{230}

\Rightarrow{x} = {2\%}

Therefore, { 4.6} is {2\%} of {230}.

#### Solution for 230 is what percent of 4.6:

230: 4.6*100 =

(230*100): 4.6 =

23000: 4.6 = 5000

Now we have: 230 is what percent of 4.6 = 5000

Question: 230 is what percent of 4.6?

Percentage solution with steps:

Step 1: We make the assumption that 4.6 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\%}={ 4.6}.

Step 4: In the same vein, {x\%}={230}.

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

{100\%}={ 4.6}(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{ 4.6}{230}

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

\frac{x\%}{100\%}=\frac{230}{ 4.6}

\Rightarrow{x} = {5000\%}

Therefore, {230} is {5000\%} of { 4.6}.

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