#### Solution for 38 is what percent of 405:

38:405*100 =

(38*100):405 =

3800:405 = 9.38

Now we have: 38 is what percent of 405 = 9.38

Question: 38 is what percent of 405?

Percentage solution with steps:

Step 1: We make the assumption that 405 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\%}={405}.

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

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

{100\%}={405}(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{405}{38}

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

\frac{x\%}{100\%}=\frac{38}{405}

\Rightarrow{x} = {9.38\%}

Therefore, {38} is {9.38\%} of {405}.

#### Solution for 405 is what percent of 38:

405:38*100 =

(405*100):38 =

40500:38 = 1065.79

Now we have: 405 is what percent of 38 = 1065.79

Question: 405 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\%}={405}.

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

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

{x\%}={405}(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}{405}

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

\frac{x\%}{100\%}=\frac{405}{38}

\Rightarrow{x} = {1065.79\%}

Therefore, {405} is {1065.79\%} of {38}.

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