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Solution for 118 is what percent of 38:

118:38*100 =

(118*100):38 =

11800:38 = 310.53

Now we have: 118 is what percent of 38 = 310.53

Question: 118 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\%}={118}.

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

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

{x\%}={118}(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}{118}

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

\frac{x\%}{100\%}=\frac{118}{38}

\Rightarrow{x} = {310.53\%}

Therefore, {118} is {310.53\%} of {38}.

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Solution for 38 is what percent of 118:

38:118*100 =

(38*100):118 =

3800:118 = 32.2

Now we have: 38 is what percent of 118 = 32.2

Question: 38 is what percent of 118?

Percentage solution with steps:

Step 1: We make the assumption that 118 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\%}={118}.

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

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

{100\%}={118}(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{118}{38}

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

\frac{x\%}{100\%}=\frac{38}{118}

\Rightarrow{x} = {32.2\%}

Therefore, {38} is {32.2\%} of {118}.