#### Solution for 381 is what percent of 300:

381: 300*100 =

(381*100): 300 =

38100: 300 = 127

Now we have: 381 is what percent of 300 = 127

Question: 381 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\%}={381}.

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

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

{x\%}={381}(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}{381}

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

\frac{x\%}{100\%}=\frac{381}{ 300}

\Rightarrow{x} = {127\%}

Therefore, {381} is {127\%} of { 300}.

#### Solution for 300 is what percent of 381:

300:381*100 =

( 300*100):381 =

30000:381 = 78.74

Now we have: 300 is what percent of 381 = 78.74

Question: 300 is what percent of 381?

Percentage solution with steps:

Step 1: We make the assumption that 381 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\%}={381}.

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

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

{100\%}={381}(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{381}{ 300}

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

\frac{x\%}{100\%}=\frac{ 300}{381}

\Rightarrow{x} = {78.74\%}

Therefore, { 300} is {78.74\%} of {381}.

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