#### Solution for 300 is what percent of 6700:

300:6700*100 =

(300*100):6700 =

30000:6700 = 4.48

Now we have: 300 is what percent of 6700 = 4.48

Question: 300 is what percent of 6700?

Percentage solution with steps:

Step 1: We make the assumption that 6700 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\%}={6700}.

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

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

{100\%}={6700}(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{6700}{300}

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

\frac{x\%}{100\%}=\frac{300}{6700}

\Rightarrow{x} = {4.48\%}

Therefore, {300} is {4.48\%} of {6700}.

#### Solution for 6700 is what percent of 300:

6700:300*100 =

(6700*100):300 =

670000:300 = 2233.33

Now we have: 6700 is what percent of 300 = 2233.33

Question: 6700 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\%}={6700}.

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

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

{x\%}={6700}(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}{6700}

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

\frac{x\%}{100\%}=\frac{6700}{300}

\Rightarrow{x} = {2233.33\%}

Therefore, {6700} is {2233.33\%} of {300}.

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