#### Solution for 251 is what percent of 300:

251:300*100 =

(251*100):300 =

25100:300 = 83.67

Now we have: 251 is what percent of 300 = 83.67

Question: 251 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\%}={251}.

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

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

{x\%}={251}(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}{251}

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

\frac{x\%}{100\%}=\frac{251}{300}

\Rightarrow{x} = {83.67\%}

Therefore, {251} is {83.67\%} of {300}.

#### Solution for 300 is what percent of 251:

300:251*100 =

(300*100):251 =

30000:251 = 119.52

Now we have: 300 is what percent of 251 = 119.52

Question: 300 is what percent of 251?

Percentage solution with steps:

Step 1: We make the assumption that 251 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\%}={251}.

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

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

{100\%}={251}(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{251}{300}

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

\frac{x\%}{100\%}=\frac{300}{251}

\Rightarrow{x} = {119.52\%}

Therefore, {300} is {119.52\%} of {251}.

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