#### Solution for 93.55 is what percent of 300:

93.55:300*100 =

(93.55*100):300 =

9355:300 = 31.183333333333

Now we have: 93.55 is what percent of 300 = 31.183333333333

Question: 93.55 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\%}={93.55}.

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

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

{x\%}={93.55}(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}{93.55}

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

\frac{x\%}{100\%}=\frac{93.55}{300}

\Rightarrow{x} = {31.183333333333\%}

Therefore, {93.55} is {31.183333333333\%} of {300}.

#### Solution for 300 is what percent of 93.55:

300:93.55*100 =

(300*100):93.55 =

30000:93.55 = 320.68412613576

Now we have: 300 is what percent of 93.55 = 320.68412613576

Question: 300 is what percent of 93.55?

Percentage solution with steps:

Step 1: We make the assumption that 93.55 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\%}={93.55}.

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

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

{100\%}={93.55}(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{93.55}{300}

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

\frac{x\%}{100\%}=\frac{300}{93.55}

\Rightarrow{x} = {320.68412613576\%}

Therefore, {300} is {320.68412613576\%} of {93.55}.

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