#### Solution for 4000 is what percent of 300:

4000:300*100 =

(4000*100):300 =

400000:300 = 1333.33

Now we have: 4000 is what percent of 300 = 1333.33

Question: 4000 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\%}={4000}.

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

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

{x\%}={4000}(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}{4000}

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

\frac{x\%}{100\%}=\frac{4000}{300}

\Rightarrow{x} = {1333.33\%}

Therefore, {4000} is {1333.33\%} of {300}.

#### Solution for 300 is what percent of 4000:

300:4000*100 =

(300*100):4000 =

30000:4000 = 7.5

Now we have: 300 is what percent of 4000 = 7.5

Question: 300 is what percent of 4000?

Percentage solution with steps:

Step 1: We make the assumption that 4000 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\%}={4000}.

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

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

{100\%}={4000}(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{4000}{300}

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

\frac{x\%}{100\%}=\frac{300}{4000}

\Rightarrow{x} = {7.5\%}

Therefore, {300} is {7.5\%} of {4000}.

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