#### Solution for 310 is what percent of 300:

310:300*100 =

(310*100):300 =

31000:300 = 103.33

Now we have: 310 is what percent of 300 = 103.33

Question: 310 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\%}={310}.

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

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

{x\%}={310}(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}{310}

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

\frac{x\%}{100\%}=\frac{310}{300}

\Rightarrow{x} = {103.33\%}

Therefore, {310} is {103.33\%} of {300}.

#### Solution for 300 is what percent of 310:

300:310*100 =

(300*100):310 =

30000:310 = 96.77

Now we have: 300 is what percent of 310 = 96.77

Question: 300 is what percent of 310?

Percentage solution with steps:

Step 1: We make the assumption that 310 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\%}={310}.

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

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

{100\%}={310}(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{310}{300}

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

\frac{x\%}{100\%}=\frac{300}{310}

\Rightarrow{x} = {96.77\%}

Therefore, {300} is {96.77\%} of {310}.

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