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Solution for 37.75 is what percent of 64:

37.75:64*100 =

(37.75*100):64 =

3775:64 = 58.984375

Now we have: 37.75 is what percent of 64 = 58.984375

Question: 37.75 is what percent of 64?

Percentage solution with steps:

Step 1: We make the assumption that 64 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\%}={64}.

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

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

{100\%}={64}(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{64}{37.75}

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

\frac{x\%}{100\%}=\frac{37.75}{64}

\Rightarrow{x} = {58.984375\%}

Therefore, {37.75} is {58.984375\%} of {64}.

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Solution for 64 is what percent of 37.75:

64:37.75*100 =

(64*100):37.75 =

6400:37.75 = 169.53642384106

Now we have: 64 is what percent of 37.75 = 169.53642384106

Question: 64 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\%}={64}.

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

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

{x\%}={64}(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}{64}

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

\frac{x\%}{100\%}=\frac{64}{37.75}

\Rightarrow{x} = {169.53642384106\%}

Therefore, {64} is {169.53642384106\%} of {37.75}.