#### Solution for 99 is what percent of 257:

99:257*100 =

(99*100):257 =

9900:257 = 38.52

Now we have: 99 is what percent of 257 = 38.52

Question: 99 is what percent of 257?

Percentage solution with steps:

Step 1: We make the assumption that 257 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\%}={257}.

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

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

{100\%}={257}(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{257}{99}

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

\frac{x\%}{100\%}=\frac{99}{257}

\Rightarrow{x} = {38.52\%}

Therefore, {99} is {38.52\%} of {257}.

#### Solution for 257 is what percent of 99:

257:99*100 =

(257*100):99 =

25700:99 = 259.6

Now we have: 257 is what percent of 99 = 259.6

Question: 257 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\%}={257}.

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

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

{x\%}={257}(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}{257}

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

\frac{x\%}{100\%}=\frac{257}{99}

\Rightarrow{x} = {259.6\%}

Therefore, {257} is {259.6\%} of {99}.

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