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Solution for 117 is what percent of 40:

117:40*100 =

(117*100):40 =

11700:40 = 292.5

Now we have: 117 is what percent of 40 = 292.5

Question: 117 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\%}={117}.

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

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

{x\%}={117}(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}{117}

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

\frac{x\%}{100\%}=\frac{117}{40}

\Rightarrow{x} = {292.5\%}

Therefore, {117} is {292.5\%} of {40}.

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Solution for 40 is what percent of 117:

40:117*100 =

(40*100):117 =

4000:117 = 34.19

Now we have: 40 is what percent of 117 = 34.19

Question: 40 is what percent of 117?

Percentage solution with steps:

Step 1: We make the assumption that 117 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\%}={117}.

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

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

{100\%}={117}(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{117}{40}

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

\frac{x\%}{100\%}=\frac{40}{117}

\Rightarrow{x} = {34.19\%}

Therefore, {40} is {34.19\%} of {117}.