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Solution for 118 is what percent of 40:

118:40*100 =

(118*100):40 =

11800:40 = 295

Now we have: 118 is what percent of 40 = 295

Question: 118 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\%}={118}.

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

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

{x\%}={118}(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}{118}

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

\frac{x\%}{100\%}=\frac{118}{40}

\Rightarrow{x} = {295\%}

Therefore, {118} is {295\%} of {40}.

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Solution for 40 is what percent of 118:

40:118*100 =

(40*100):118 =

4000:118 = 33.9

Now we have: 40 is what percent of 118 = 33.9

Question: 40 is what percent of 118?

Percentage solution with steps:

Step 1: We make the assumption that 118 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\%}={118}.

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

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

{100\%}={118}(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{118}{40}

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

\frac{x\%}{100\%}=\frac{40}{118}

\Rightarrow{x} = {33.9\%}

Therefore, {40} is {33.9\%} of {118}.