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Solution for 40 is what percent of 515:

40:515*100 =

(40*100):515 =

4000:515 = 7.77

Now we have: 40 is what percent of 515 = 7.77

Question: 40 is what percent of 515?

Percentage solution with steps:

Step 1: We make the assumption that 515 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\%}={515}.

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

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

{100\%}={515}(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{515}{40}

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

\frac{x\%}{100\%}=\frac{40}{515}

\Rightarrow{x} = {7.77\%}

Therefore, {40} is {7.77\%} of {515}.

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Solution for 515 is what percent of 40:

515:40*100 =

(515*100):40 =

51500:40 = 1287.5

Now we have: 515 is what percent of 40 = 1287.5

Question: 515 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\%}={515}.

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

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

{x\%}={515}(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}{515}

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

\frac{x\%}{100\%}=\frac{515}{40}

\Rightarrow{x} = {1287.5\%}

Therefore, {515} is {1287.5\%} of {40}.