#### Solution for 99 is what percent of 382:

99:382*100 =

(99*100):382 =

9900:382 = 25.92

Now we have: 99 is what percent of 382 = 25.92

Question: 99 is what percent of 382?

Percentage solution with steps:

Step 1: We make the assumption that 382 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\%}={382}.

Step 4: In the same vein, {x\%}={99}.

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

{100\%}={382}(1).

{x\%}={99}(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{382}{99}

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

\frac{x\%}{100\%}=\frac{99}{382}

\Rightarrow{x} = {25.92\%}

Therefore, {99} is {25.92\%} of {382}.

#### Solution for 382 is what percent of 99:

382:99*100 =

(382*100):99 =

38200:99 = 385.86

Now we have: 382 is what percent of 99 = 385.86

Question: 382 is what percent of 99?

Percentage solution with steps:

Step 1: We make the assumption that 99 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\%}={99}.

Step 4: In the same vein, {x\%}={382}.

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

{100\%}={99}(1).

{x\%}={382}(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{99}{382}

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

\frac{x\%}{100\%}=\frac{382}{99}

\Rightarrow{x} = {385.86\%}

Therefore, {382} is {385.86\%} of {99}.

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