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Solution for 305 is what percent of 40:

305:40*100 =

(305*100):40 =

30500:40 = 762.5

Now we have: 305 is what percent of 40 = 762.5

Question: 305 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\%}={305}.

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

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

{x\%}={305}(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}{305}

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

\frac{x\%}{100\%}=\frac{305}{40}

\Rightarrow{x} = {762.5\%}

Therefore, {305} is {762.5\%} of {40}.

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Solution for 40 is what percent of 305:

40:305*100 =

(40*100):305 =

4000:305 = 13.11

Now we have: 40 is what percent of 305 = 13.11

Question: 40 is what percent of 305?

Percentage solution with steps:

Step 1: We make the assumption that 305 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\%}={305}.

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

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

{100\%}={305}(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{305}{40}

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

\frac{x\%}{100\%}=\frac{40}{305}

\Rightarrow{x} = {13.11\%}

Therefore, {40} is {13.11\%} of {305}.