#### Solution for 99 is what percent of 118:

99:118*100 =

(99*100):118 =

9900:118 = 83.9

Now we have: 99 is what percent of 118 = 83.9

Question: 99 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\%}={99}.

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

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

{x\%}={99}(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}{99}

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

\frac{x\%}{100\%}=\frac{99}{118}

\Rightarrow{x} = {83.9\%}

Therefore, {99} is {83.9\%} of {118}.

#### Solution for 118 is what percent of 99:

118:99*100 =

(118*100):99 =

11800:99 = 119.19

Now we have: 118 is what percent of 99 = 119.19

Question: 118 is what percent of 99?

Percentage solution with steps:

Step 1: We make the assumption that 99 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\%}={99}.

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

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

{100\%}={99}(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{99}{118}

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

\frac{x\%}{100\%}=\frac{118}{99}

\Rightarrow{x} = {119.19\%}

Therefore, {118} is {119.19\%} of {99}.

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