#### Solution for 198 is what percent of 300:

198:300*100 =

(198*100):300 =

19800:300 = 66

Now we have: 198 is what percent of 300 = 66

Question: 198 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\%}={198}.

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

{100\%}={300}(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{300}{198}

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

\frac{x\%}{100\%}=\frac{198}{300}

\Rightarrow{x} = {66\%}

Therefore, {198} is {66\%} of {300}.

#### Solution for 300 is what percent of 198:

300:198*100 =

(300*100):198 =

30000:198 = 151.52

Now we have: 300 is what percent of 198 = 151.52

Question: 300 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\%}={300}.

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

{100\%}={198}(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{198}{300}

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

\frac{x\%}{100\%}=\frac{300}{198}

\Rightarrow{x} = {151.52\%}

Therefore, {300} is {151.52\%} of {198}.

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