#### Solution for 308 is what percent of 1100:

308:1100*100 =

(308*100):1100 =

30800:1100 = 28

Now we have: 308 is what percent of 1100 = 28

Question: 308 is what percent of 1100?

Percentage solution with steps:

Step 1: We make the assumption that 1100 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\%}={1100}.

Step 4: In the same vein, {x\%}={308}.

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

{100\%}={1100}(1).

{x\%}={308}(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{1100}{308}

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

\frac{x\%}{100\%}=\frac{308}{1100}

\Rightarrow{x} = {28\%}

Therefore, {308} is {28\%} of {1100}.

#### Solution for 1100 is what percent of 308:

1100:308*100 =

(1100*100):308 =

110000:308 = 357.14

Now we have: 1100 is what percent of 308 = 357.14

Question: 1100 is what percent of 308?

Percentage solution with steps:

Step 1: We make the assumption that 308 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\%}={308}.

Step 4: In the same vein, {x\%}={1100}.

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

{100\%}={308}(1).

{x\%}={1100}(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{308}{1100}

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

\frac{x\%}{100\%}=\frac{1100}{308}

\Rightarrow{x} = {357.14\%}

Therefore, {1100} is {357.14\%} of {308}.

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