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Solution for 305 is what percent of 38:

305:38*100 =

(305*100):38 =

30500:38 = 802.63

Now we have: 305 is what percent of 38 = 802.63

Question: 305 is what percent of 38?

Percentage solution with steps:

Step 1: We make the assumption that 38 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\%}={38}.

Step 4: In the same vein, {x\%}={305}.

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

{100\%}={38}(1).

{x\%}={305}(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{38}{305}

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

\frac{x\%}{100\%}=\frac{305}{38}

\Rightarrow{x} = {802.63\%}

Therefore, {305} is {802.63\%} of {38}.

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Solution for 38 is what percent of 305:

38:305*100 =

(38*100):305 =

3800:305 = 12.46

Now we have: 38 is what percent of 305 = 12.46

Question: 38 is what percent of 305?

Percentage solution with steps:

Step 1: We make the assumption that 305 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\%}={305}.

Step 4: In the same vein, {x\%}={38}.

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

{100\%}={305}(1).

{x\%}={38}(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{305}{38}

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

\frac{x\%}{100\%}=\frac{38}{305}

\Rightarrow{x} = {12.46\%}

Therefore, {38} is {12.46\%} of {305}.