#### Solution for 198 is what percent of 312:

198:312*100 =

(198*100):312 =

19800:312 = 63.46

Now we have: 198 is what percent of 312 = 63.46

Question: 198 is what percent of 312?

Percentage solution with steps:

Step 1: We make the assumption that 312 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\%}={312}.

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

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

{100\%}={312}(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{312}{198}

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

\frac{x\%}{100\%}=\frac{198}{312}

\Rightarrow{x} = {63.46\%}

Therefore, {198} is {63.46\%} of {312}.

#### Solution for 312 is what percent of 198:

312:198*100 =

(312*100):198 =

31200:198 = 157.58

Now we have: 312 is what percent of 198 = 157.58

Question: 312 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\%}={312}.

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

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

{x\%}={312}(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}{312}

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

\frac{x\%}{100\%}=\frac{312}{198}

\Rightarrow{x} = {157.58\%}

Therefore, {312} is {157.58\%} of {198}.

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