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Solution for 30.5 is what percent of 40:

30.5:40*100 =

(30.5*100):40 =

3050:40 = 76.25

Now we have: 30.5 is what percent of 40 = 76.25

Question: 30.5 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\%}={30.5}.

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

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

{x\%}={30.5}(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}{30.5}

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

\frac{x\%}{100\%}=\frac{30.5}{40}

\Rightarrow{x} = {76.25\%}

Therefore, {30.5} is {76.25\%} of {40}.

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Solution for 40 is what percent of 30.5:

40:30.5*100 =

(40*100):30.5 =

4000:30.5 = 131.14754098361

Now we have: 40 is what percent of 30.5 = 131.14754098361

Question: 40 is what percent of 30.5?

Percentage solution with steps:

Step 1: We make the assumption that 30.5 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\%}={30.5}.

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

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

{100\%}={30.5}(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{30.5}{40}

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

\frac{x\%}{100\%}=\frac{40}{30.5}

\Rightarrow{x} = {131.14754098361\%}

Therefore, {40} is {131.14754098361\%} of {30.5}.