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Solution for 309 is what percent of 38:

309:38*100 =

(309*100):38 =

30900:38 = 813.16

Now we have: 309 is what percent of 38 = 813.16

Question: 309 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\%}={309}.

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

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

{x\%}={309}(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}{309}

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

\frac{x\%}{100\%}=\frac{309}{38}

\Rightarrow{x} = {813.16\%}

Therefore, {309} is {813.16\%} of {38}.

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Solution for 38 is what percent of 309:

38:309*100 =

(38*100):309 =

3800:309 = 12.3

Now we have: 38 is what percent of 309 = 12.3

Question: 38 is what percent of 309?

Percentage solution with steps:

Step 1: We make the assumption that 309 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\%}={309}.

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

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

{100\%}={309}(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{309}{38}

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

\frac{x\%}{100\%}=\frac{38}{309}

\Rightarrow{x} = {12.3\%}

Therefore, {38} is {12.3\%} of {309}.