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Solution for 107.5 is what percent of 38:

107.5:38*100 =

(107.5*100):38 =

10750:38 = 282.89473684211

Now we have: 107.5 is what percent of 38 = 282.89473684211

Question: 107.5 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\%}={107.5}.

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

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

{x\%}={107.5}(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}{107.5}

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

\frac{x\%}{100\%}=\frac{107.5}{38}

\Rightarrow{x} = {282.89473684211\%}

Therefore, {107.5} is {282.89473684211\%} of {38}.

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• 107.5 is what percent of 100 = 107.5

Solution for 38 is what percent of 107.5:

38:107.5*100 =

(38*100):107.5 =

3800:107.5 = 35.348837209302

Now we have: 38 is what percent of 107.5 = 35.348837209302

Question: 38 is what percent of 107.5?

Percentage solution with steps:

Step 1: We make the assumption that 107.5 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\%}={107.5}.

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

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

{100\%}={107.5}(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{107.5}{38}

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

\frac{x\%}{100\%}=\frac{38}{107.5}

\Rightarrow{x} = {35.348837209302\%}

Therefore, {38} is {35.348837209302\%} of {107.5}.