#### Solution for 700 is what percent of 300:

700: 300*100 =

(700*100): 300 =

70000: 300 = 233.33

Now we have: 700 is what percent of 300 = 233.33

Question: 700 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\%}={700}.

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

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

{x\%}={700}(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}{700}

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

\frac{x\%}{100\%}=\frac{700}{ 300}

\Rightarrow{x} = {233.33\%}

Therefore, {700} is {233.33\%} of { 300}.

#### Solution for 300 is what percent of 700:

300:700*100 =

( 300*100):700 =

30000:700 = 42.86

Now we have: 300 is what percent of 700 = 42.86

Question: 300 is what percent of 700?

Percentage solution with steps:

Step 1: We make the assumption that 700 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\%}={700}.

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

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

{100\%}={700}(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{700}{ 300}

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

\frac{x\%}{100\%}=\frac{ 300}{700}

\Rightarrow{x} = {42.86\%}

Therefore, { 300} is {42.86\%} of {700}.

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