#### Solution for 40 is what percent of 115:

40:115*100 =

(40*100):115 =

4000:115 = 34.78

Now we have: 40 is what percent of 115 = 34.78

Question: 40 is what percent of 115?

Percentage solution with steps:

Step 1: We make the assumption that 115 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\%}={115}.

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

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

{100\%}={115}(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{115}{40}

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

\frac{x\%}{100\%}=\frac{40}{115}

\Rightarrow{x} = {34.78\%}

Therefore, {40} is {34.78\%} of {115}.

#### Solution for 115 is what percent of 40:

115:40*100 =

(115*100):40 =

11500:40 = 287.5

Now we have: 115 is what percent of 40 = 287.5

Question: 115 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\%}={115}.

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

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

{x\%}={115}(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}{115}

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

\frac{x\%}{100\%}=\frac{115}{40}

\Rightarrow{x} = {287.5\%}

Therefore, {115} is {287.5\%} of {40}.

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