#### Solution for 199 is what percent of 475:

199:475*100 =

(199*100):475 =

19900:475 = 41.89

Now we have: 199 is what percent of 475 = 41.89

Question: 199 is what percent of 475?

Percentage solution with steps:

Step 1: We make the assumption that 475 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\%}={475}.

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

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

{100\%}={475}(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{475}{199}

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

\frac{x\%}{100\%}=\frac{199}{475}

\Rightarrow{x} = {41.89\%}

Therefore, {199} is {41.89\%} of {475}.

#### Solution for 475 is what percent of 199:

475:199*100 =

(475*100):199 =

47500:199 = 238.69

Now we have: 475 is what percent of 199 = 238.69

Question: 475 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\%}={475}.

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

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

{x\%}={475}(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}{475}

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

\frac{x\%}{100\%}=\frac{475}{199}

\Rightarrow{x} = {238.69\%}

Therefore, {475} is {238.69\%} of {199}.

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