#### Solution for 37.75 is what percent of 113.99:

37.75:113.99*100 =

(37.75*100):113.99 =

3775:113.99 = 33.116940082463

Now we have: 37.75 is what percent of 113.99 = 33.116940082463

Question: 37.75 is what percent of 113.99?

Percentage solution with steps:

Step 1: We make the assumption that 113.99 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\%}={113.99}.

Step 4: In the same vein, {x\%}={37.75}.

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

{100\%}={113.99}(1).

{x\%}={37.75}(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{113.99}{37.75}

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

\frac{x\%}{100\%}=\frac{37.75}{113.99}

\Rightarrow{x} = {33.116940082463\%}

Therefore, {37.75} is {33.116940082463\%} of {113.99}.

#### Solution for 113.99 is what percent of 37.75:

113.99:37.75*100 =

(113.99*100):37.75 =

11399:37.75 = 301.96026490066

Now we have: 113.99 is what percent of 37.75 = 301.96026490066

Question: 113.99 is what percent of 37.75?

Percentage solution with steps:

Step 1: We make the assumption that 37.75 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\%}={37.75}.

Step 4: In the same vein, {x\%}={113.99}.

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

{100\%}={37.75}(1).

{x\%}={113.99}(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{37.75}{113.99}

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

\frac{x\%}{100\%}=\frac{113.99}{37.75}

\Rightarrow{x} = {301.96026490066\%}

Therefore, {113.99} is {301.96026490066\%} of {37.75}.

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