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Solution for 23 is what percent of 198:

23:198*100 =

(23*100):198 =

2300:198 = 11.62

Now we have: 23 is what percent of 198 = 11.62

Question: 23 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\%}={23}.

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

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

{x\%}={23}(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}{23}

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

\frac{x\%}{100\%}=\frac{23}{198}

\Rightarrow{x} = {11.62\%}

Therefore, {23} is {11.62\%} of {198}.

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Solution for 198 is what percent of 23:

198:23*100 =

(198*100):23 =

19800:23 = 860.87

Now we have: 198 is what percent of 23 = 860.87

Question: 198 is what percent of 23?

Percentage solution with steps:

Step 1: We make the assumption that 23 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\%}={23}.

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

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

{100\%}={23}(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{23}{198}

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

\frac{x\%}{100\%}=\frac{198}{23}

\Rightarrow{x} = {860.87\%}

Therefore, {198} is {860.87\%} of {23}.