#### Solution for 18 is what percent of 198:

18:198*100 =

(18*100):198 =

1800:198 = 9.09

Now we have: 18 is what percent of 198 = 9.09

Question: 18 is what percent of 198?

Percentage solution with steps:

Step 1: We make the assumption that 198 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\%}={198}.

Step 4: In the same vein, {x\%}={18}.

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

{100\%}={198}(1).

{x\%}={18}(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{198}{18}

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

\frac{x\%}{100\%}=\frac{18}{198}

\Rightarrow{x} = {9.09\%}

Therefore, {18} is {9.09\%} of {198}.

#### Solution for 198 is what percent of 18:

198:18*100 =

(198*100):18 =

19800:18 = 1100

Now we have: 198 is what percent of 18 = 1100

Question: 198 is what percent of 18?

Percentage solution with steps:

Step 1: We make the assumption that 18 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\%}={18}.

Step 4: In the same vein, {x\%}={198}.

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

{100\%}={18}(1).

{x\%}={198}(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{18}{198}

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

\frac{x\%}{100\%}=\frac{198}{18}

\Rightarrow{x} = {1100\%}

Therefore, {198} is {1100\%} of {18}.

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