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Solution for 1.1 is what percent of 2.75:

1.1:2.75*100 =

(1.1*100):2.75 =

110:2.75 = 40

Now we have: 1.1 is what percent of 2.75 = 40

Question: 1.1 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\%}={1.1}.

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

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

{x\%}={1.1}(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}{1.1}

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

\frac{x\%}{100\%}=\frac{1.1}{2.75}

\Rightarrow{x} = {40\%}

Therefore, {1.1} is {40\%} of {2.75}.

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• 1.1 is what percent of 100 = 1.1

Solution for 2.75 is what percent of 1.1:

2.75:1.1*100 =

(2.75*100):1.1 =

275:1.1 = 250

Now we have: 2.75 is what percent of 1.1 = 250

Question: 2.75 is what percent of 1.1?

Percentage solution with steps:

Step 1: We make the assumption that 1.1 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\%}={1.1}.

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

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

{100\%}={1.1}(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{1.1}{2.75}

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

\frac{x\%}{100\%}=\frac{2.75}{1.1}

\Rightarrow{x} = {250\%}

Therefore, {2.75} is {250\%} of {1.1}.