#### Solution for 199.5 is what percent of 100:

199.5:100*100 =

(199.5*100):100 =

19950:100 = 199.5

Now we have: 199.5 is what percent of 100 = 199.5

Question: 199.5 is what percent of 100?

Percentage solution with steps:

Step 1: We make the assumption that 100 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\%}={100}.

Step 4: In the same vein, {x\%}={199.5}.

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

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

{x\%}={199.5}(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{100}{199.5}

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

\frac{x\%}{100\%}=\frac{199.5}{100}

\Rightarrow{x} = {199.5\%}

Therefore, {199.5} is {199.5\%} of {100}.

#### Solution for 100 is what percent of 199.5:

100:199.5*100 =

(100*100):199.5 =

10000:199.5 = 50.125313283208

Now we have: 100 is what percent of 199.5 = 50.125313283208

Question: 100 is what percent of 199.5?

Percentage solution with steps:

Step 1: We make the assumption that 199.5 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\%}={199.5}.

Step 4: In the same vein, {x\%}={100}.

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

{100\%}={199.5}(1).

{x\%}={100}(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{199.5}{100}

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

\frac{x\%}{100\%}=\frac{100}{199.5}

\Rightarrow{x} = {50.125313283208\%}

Therefore, {100} is {50.125313283208\%} of {199.5}.

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