#### Solution for 118 is what percent of 285:

118:285*100 =

(118*100):285 =

11800:285 = 41.4

Now we have: 118 is what percent of 285 = 41.4

Question: 118 is what percent of 285?

Percentage solution with steps:

Step 1: We make the assumption that 285 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\%}={285}.

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

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

{100\%}={285}(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{285}{118}

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

\frac{x\%}{100\%}=\frac{118}{285}

\Rightarrow{x} = {41.4\%}

Therefore, {118} is {41.4\%} of {285}.

#### Solution for 285 is what percent of 118:

285:118*100 =

(285*100):118 =

28500:118 = 241.53

Now we have: 285 is what percent of 118 = 241.53

Question: 285 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\%}={285}.

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

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

{x\%}={285}(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}{285}

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

\frac{x\%}{100\%}=\frac{285}{118}

\Rightarrow{x} = {241.53\%}

Therefore, {285} is {241.53\%} of {118}.

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