#### Solution for 48 is what percent of 338:

48:338*100 =

(48*100):338 =

4800:338 = 14.2

Now we have: 48 is what percent of 338 = 14.2

Question: 48 is what percent of 338?

Percentage solution with steps:

Step 1: We make the assumption that 338 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\%}={338}.

Step 4: In the same vein, {x\%}={48}.

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

{100\%}={338}(1).

{x\%}={48}(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{338}{48}

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

\frac{x\%}{100\%}=\frac{48}{338}

\Rightarrow{x} = {14.2\%}

Therefore, {48} is {14.2\%} of {338}.

#### Solution for 338 is what percent of 48:

338:48*100 =

(338*100):48 =

33800:48 = 704.17

Now we have: 338 is what percent of 48 = 704.17

Question: 338 is what percent of 48?

Percentage solution with steps:

Step 1: We make the assumption that 48 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\%}={48}.

Step 4: In the same vein, {x\%}={338}.

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

{100\%}={48}(1).

{x\%}={338}(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{48}{338}

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

\frac{x\%}{100\%}=\frac{338}{48}

\Rightarrow{x} = {704.17\%}

Therefore, {338} is {704.17\%} of {48}.

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