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Solution for 37.75 is what percent of 42:

37.75:42*100 =

(37.75*100):42 =

3775:42 = 89.880952380952

Now we have: 37.75 is what percent of 42 = 89.880952380952

Question: 37.75 is what percent of 42?

Percentage solution with steps:

Step 1: We make the assumption that 42 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\%}={42}.

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

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

{100\%}={42}(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{42}{37.75}

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

\frac{x\%}{100\%}=\frac{37.75}{42}

\Rightarrow{x} = {89.880952380952\%}

Therefore, {37.75} is {89.880952380952\%} of {42}.

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• 37.75 is what percent of 100 = 37.75

Solution for 42 is what percent of 37.75:

42:37.75*100 =

(42*100):37.75 =

4200:37.75 = 111.2582781457

Now we have: 42 is what percent of 37.75 = 111.2582781457

Question: 42 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\%}={42}.

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

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

{x\%}={42}(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}{42}

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

\frac{x\%}{100\%}=\frac{42}{37.75}

\Rightarrow{x} = {111.2582781457\%}

Therefore, {42} is {111.2582781457\%} of {37.75}.