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Solution for 1100 is what percent of 1300:

1100:1300*100 =

(1100*100):1300 =

110000:1300 = 84.62

Now we have: 1100 is what percent of 1300 = 84.62

Question: 1100 is what percent of 1300?

Percentage solution with steps:

Step 1: We make the assumption that 1300 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\%}={1300}.

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

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

{100\%}={1300}(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{1300}{1100}

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

\frac{x\%}{100\%}=\frac{1100}{1300}

\Rightarrow{x} = {84.62\%}

Therefore, {1100} is {84.62\%} of {1300}.

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Solution for 1300 is what percent of 1100:

1300:1100*100 =

(1300*100):1100 =

130000:1100 = 118.18

Now we have: 1300 is what percent of 1100 = 118.18

Question: 1300 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\%}={1300}.

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

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

{x\%}={1300}(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}{1300}

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

\frac{x\%}{100\%}=\frac{1300}{1100}

\Rightarrow{x} = {118.18\%}

Therefore, {1300} is {118.18\%} of {1100}.