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Solution for 328 is what percent of 40:

328:40*100 =

(328*100):40 =

32800:40 = 820

Now we have: 328 is what percent of 40 = 820

Question: 328 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\%}={328}.

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

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

{x\%}={328}(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}{328}

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

\frac{x\%}{100\%}=\frac{328}{40}

\Rightarrow{x} = {820\%}

Therefore, {328} is {820\%} of {40}.

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Solution for 40 is what percent of 328:

40:328*100 =

(40*100):328 =

4000:328 = 12.2

Now we have: 40 is what percent of 328 = 12.2

Question: 40 is what percent of 328?

Percentage solution with steps:

Step 1: We make the assumption that 328 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\%}={328}.

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

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

{100\%}={328}(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{328}{40}

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

\frac{x\%}{100\%}=\frac{40}{328}

\Rightarrow{x} = {12.2\%}

Therefore, {40} is {12.2\%} of {328}.