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Solution for 113 is what percent of 38:

113:38*100 =

(113*100):38 =

11300:38 = 297.37

Now we have: 113 is what percent of 38 = 297.37

Question: 113 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\%}={113}.

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

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

{x\%}={113}(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}{113}

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

\frac{x\%}{100\%}=\frac{113}{38}

\Rightarrow{x} = {297.37\%}

Therefore, {113} is {297.37\%} of {38}.

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Solution for 38 is what percent of 113:

38:113*100 =

(38*100):113 =

3800:113 = 33.63

Now we have: 38 is what percent of 113 = 33.63

Question: 38 is what percent of 113?

Percentage solution with steps:

Step 1: We make the assumption that 113 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\%}={113}.

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

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

{100\%}={113}(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{113}{38}

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

\frac{x\%}{100\%}=\frac{38}{113}

\Rightarrow{x} = {33.63\%}

Therefore, {38} is {33.63\%} of {113}.