#### Solution for 199 is what percent of 1338:

199:1338*100 =

(199*100):1338 =

19900:1338 = 14.87

Now we have: 199 is what percent of 1338 = 14.87

Question: 199 is what percent of 1338?

Percentage solution with steps:

Step 1: We make the assumption that 1338 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\%}={1338}.

Step 4: In the same vein, {x\%}={199}.

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

{100\%}={1338}(1).

{x\%}={199}(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{1338}{199}

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

\frac{x\%}{100\%}=\frac{199}{1338}

\Rightarrow{x} = {14.87\%}

Therefore, {199} is {14.87\%} of {1338}.

#### Solution for 1338 is what percent of 199:

1338:199*100 =

(1338*100):199 =

133800:199 = 672.36

Now we have: 1338 is what percent of 199 = 672.36

Question: 1338 is what percent of 199?

Percentage solution with steps:

Step 1: We make the assumption that 199 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\%}={199}.

Step 4: In the same vein, {x\%}={1338}.

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

{100\%}={199}(1).

{x\%}={1338}(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{199}{1338}

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

\frac{x\%}{100\%}=\frac{1338}{199}

\Rightarrow{x} = {672.36\%}

Therefore, {1338} is {672.36\%} of {199}.

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