#### Solution for 118 is what percent of 300:

118:300*100 =

(118*100):300 =

11800:300 = 39.33

Now we have: 118 is what percent of 300 = 39.33

Question: 118 is what percent of 300?

Percentage solution with steps:

Step 1: We make the assumption that 300 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\%}={300}.

Step 4: In the same vein, {x\%}={118}.

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

{100\%}={300}(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{300}{118}

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

\frac{x\%}{100\%}=\frac{118}{300}

\Rightarrow{x} = {39.33\%}

Therefore, {118} is {39.33\%} of {300}.

#### Solution for 300 is what percent of 118:

300:118*100 =

(300*100):118 =

30000:118 = 254.24

Now we have: 300 is what percent of 118 = 254.24

Question: 300 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\%}={300}.

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

{100\%}={118}(1).

{x\%}={300}(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}{300}

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

\frac{x\%}{100\%}=\frac{300}{118}

\Rightarrow{x} = {254.24\%}

Therefore, {300} is {254.24\%} of {118}.

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