#### Solution for 230 is what percent of 300:

230:300*100 =

(230*100):300 =

23000:300 = 76.67

Now we have: 230 is what percent of 300 = 76.67

Question: 230 is what percent of 300?

Percentage solution with steps:

Step 1: We make the assumption that 300 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\%}={300}.

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

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

{100\%}={300}(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{300}{230}

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

\frac{x\%}{100\%}=\frac{230}{300}

\Rightarrow{x} = {76.67\%}

Therefore, {230} is {76.67\%} of {300}.

#### Solution for 300 is what percent of 230:

300:230*100 =

(300*100):230 =

30000:230 = 130.43

Now we have: 300 is what percent of 230 = 130.43

Question: 300 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\%}={300}.

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

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

{x\%}={300}(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}{300}

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

\frac{x\%}{100\%}=\frac{300}{230}

\Rightarrow{x} = {130.43\%}

Therefore, {300} is {130.43\%} of {230}.

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