#### Solution for 300 is what percent of 0.3:

300:0.3*100 =

(300*100):0.3 =

30000:0.3 = 100000

Now we have: 300 is what percent of 0.3 = 100000

Question: 300 is what percent of 0.3?

Percentage solution with steps:

Step 1: We make the assumption that 0.3 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\%}={0.3}.

Step 4: In the same vein, {x\%}={300}.

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

{100\%}={0.3}(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{0.3}{300}

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

\frac{x\%}{100\%}=\frac{300}{0.3}

\Rightarrow{x} = {100000\%}

Therefore, {300} is {100000\%} of {0.3}.

#### Solution for 0.3 is what percent of 300:

0.3:300*100 =

(0.3*100):300 =

30:300 = 0.1

Now we have: 0.3 is what percent of 300 = 0.1

Question: 0.3 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\%}={0.3}.

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

{100\%}={300}(1).

{x\%}={0.3}(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}{0.3}

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

\frac{x\%}{100\%}=\frac{0.3}{300}

\Rightarrow{x} = {0.1\%}

Therefore, {0.3} is {0.1\%} of {300}.

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