#### Solution for 380 is what percent of 300:

380:300*100 =

(380*100):300 =

38000:300 = 126.67

Now we have: 380 is what percent of 300 = 126.67

Question: 380 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\%}={380}.

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

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

{x\%}={380}(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}{380}

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

\frac{x\%}{100\%}=\frac{380}{300}

\Rightarrow{x} = {126.67\%}

Therefore, {380} is {126.67\%} of {300}.

#### Solution for 300 is what percent of 380:

300:380*100 =

(300*100):380 =

30000:380 = 78.95

Now we have: 300 is what percent of 380 = 78.95

Question: 300 is what percent of 380?

Percentage solution with steps:

Step 1: We make the assumption that 380 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\%}={380}.

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

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

{100\%}={380}(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{380}{300}

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

\frac{x\%}{100\%}=\frac{300}{380}

\Rightarrow{x} = {78.95\%}

Therefore, {300} is {78.95\%} of {380}.

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