#### Solution for 3 is what percent of 2.75:

3:2.75*100 =

(3*100):2.75 =

300:2.75 = 109.09090909091

Now we have: 3 is what percent of 2.75 = 109.09090909091

Question: 3 is what percent of 2.75?

Percentage solution with steps:

Step 1: We make the assumption that 2.75 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\%}={2.75}.

Step 4: In the same vein, {x\%}={3}.

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

{100\%}={2.75}(1).

{x\%}={3}(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{2.75}{3}

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

\frac{x\%}{100\%}=\frac{3}{2.75}

\Rightarrow{x} = {109.09090909091\%}

Therefore, {3} is {109.09090909091\%} of {2.75}.

#### Solution for 2.75 is what percent of 3:

2.75:3*100 =

(2.75*100):3 =

275:3 = 91.666666666667

Now we have: 2.75 is what percent of 3 = 91.666666666667

Question: 2.75 is what percent of 3?

Percentage solution with steps:

Step 1: We make the assumption that 3 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\%}={3}.

Step 4: In the same vein, {x\%}={2.75}.

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

{100\%}={3}(1).

{x\%}={2.75}(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{3}{2.75}

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

\frac{x\%}{100\%}=\frac{2.75}{3}

\Rightarrow{x} = {91.666666666667\%}

Therefore, {2.75} is {91.666666666667\%} of {3}.

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