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Solution for 37.75 is what percent of 39:

37.75:39*100 =

(37.75*100):39 =

3775:39 = 96.794871794872

Now we have: 37.75 is what percent of 39 = 96.794871794872

Question: 37.75 is what percent of 39?

Percentage solution with steps:

Step 1: We make the assumption that 39 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\%}={39}.

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

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

{100\%}={39}(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{39}{37.75}

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

\frac{x\%}{100\%}=\frac{37.75}{39}

\Rightarrow{x} = {96.794871794872\%}

Therefore, {37.75} is {96.794871794872\%} of {39}.

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• 37.75 is what percent of 100 = 37.75

Solution for 39 is what percent of 37.75:

39:37.75*100 =

(39*100):37.75 =

3900:37.75 = 103.31125827815

Now we have: 39 is what percent of 37.75 = 103.31125827815

Question: 39 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\%}={39}.

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

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

{x\%}={39}(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}{39}

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

\frac{x\%}{100\%}=\frac{39}{37.75}

\Rightarrow{x} = {103.31125827815\%}

Therefore, {39} is {103.31125827815\%} of {37.75}.