#### Solution for 2.5 is what percent of 300:

2.5:300*100 =

(2.5*100):300 =

250:300 = 0.83333333333333

Now we have: 2.5 is what percent of 300 = 0.83333333333333

Question: 2.5 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\%}={2.5}.

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

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

{x\%}={2.5}(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}{2.5}

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

\frac{x\%}{100\%}=\frac{2.5}{300}

\Rightarrow{x} = {0.83333333333333\%}

Therefore, {2.5} is {0.83333333333333\%} of {300}.

#### Solution for 300 is what percent of 2.5:

300:2.5*100 =

(300*100):2.5 =

30000:2.5 = 12000

Now we have: 300 is what percent of 2.5 = 12000

Question: 300 is what percent of 2.5?

Percentage solution with steps:

Step 1: We make the assumption that 2.5 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\%}={2.5}.

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

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

{100\%}={2.5}(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{2.5}{300}

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

\frac{x\%}{100\%}=\frac{300}{2.5}

\Rightarrow{x} = {12000\%}

Therefore, {300} is {12000\%} of {2.5}.

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