#### Solution for 297.50 is what percent of 300:

297.50:300*100 =

(297.50*100):300 =

29750:300 = 99.166666666667

Now we have: 297.50 is what percent of 300 = 99.166666666667

Question: 297.50 is what percent of 300?

Percentage solution with steps:

Step 1: We make the assumption that 300 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\%}={300}.

Step 4: In the same vein, {x\%}={297.50}.

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

{100\%}={300}(1).

{x\%}={297.50}(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{300}{297.50}

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

\frac{x\%}{100\%}=\frac{297.50}{300}

\Rightarrow{x} = {99.166666666667\%}

Therefore, {297.50} is {99.166666666667\%} of {300}.

#### Solution for 300 is what percent of 297.50:

300:297.50*100 =

(300*100):297.50 =

30000:297.50 = 100.84033613445

Now we have: 300 is what percent of 297.50 = 100.84033613445

Question: 300 is what percent of 297.50?

Percentage solution with steps:

Step 1: We make the assumption that 297.50 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\%}={297.50}.

Step 4: In the same vein, {x\%}={300}.

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

{100\%}={297.50}(1).

{x\%}={300}(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{297.50}{300}

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

\frac{x\%}{100\%}=\frac{300}{297.50}

\Rightarrow{x} = {100.84033613445\%}

Therefore, {300} is {100.84033613445\%} of {297.50}.

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