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Solution for 67.75 is what percent of 40:

67.75:40*100 =

(67.75*100):40 =

6775:40 = 169.375

Now we have: 67.75 is what percent of 40 = 169.375

Question: 67.75 is what percent of 40?

Percentage solution with steps:

Step 1: We make the assumption that 40 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\%}={40}.

Step 4: In the same vein, {x\%}={67.75}.

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

{100\%}={40}(1).

{x\%}={67.75}(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{40}{67.75}

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

\frac{x\%}{100\%}=\frac{67.75}{40}

\Rightarrow{x} = {169.375\%}

Therefore, {67.75} is {169.375\%} of {40}.

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• 67.75 is what percent of 100 = 67.75

Solution for 40 is what percent of 67.75:

40:67.75*100 =

(40*100):67.75 =

4000:67.75 = 59.040590405904

Now we have: 40 is what percent of 67.75 = 59.040590405904

Question: 40 is what percent of 67.75?

Percentage solution with steps:

Step 1: We make the assumption that 67.75 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\%}={67.75}.

Step 4: In the same vein, {x\%}={40}.

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

{100\%}={67.75}(1).

{x\%}={40}(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{67.75}{40}

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

\frac{x\%}{100\%}=\frac{40}{67.75}

\Rightarrow{x} = {59.040590405904\%}

Therefore, {40} is {59.040590405904\%} of {67.75}.