#### Solution for 38 is what percent of 14.42:

38:14.42*100 =

(38*100):14.42 =

3800:14.42 = 263.52288488211

Now we have: 38 is what percent of 14.42 = 263.52288488211

Question: 38 is what percent of 14.42?

Percentage solution with steps:

Step 1: We make the assumption that 14.42 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\%}={14.42}.

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

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

{100\%}={14.42}(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{14.42}{38}

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

\frac{x\%}{100\%}=\frac{38}{14.42}

\Rightarrow{x} = {263.52288488211\%}

Therefore, {38} is {263.52288488211\%} of {14.42}.

#### Solution for 14.42 is what percent of 38:

14.42:38*100 =

(14.42*100):38 =

1442:38 = 37.947368421053

Now we have: 14.42 is what percent of 38 = 37.947368421053

Question: 14.42 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\%}={14.42}.

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

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

{x\%}={14.42}(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}{14.42}

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

\frac{x\%}{100\%}=\frac{14.42}{38}

\Rightarrow{x} = {37.947368421053\%}

Therefore, {14.42} is {37.947368421053\%} of {38}.

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