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Solution for 1100 is what percent of 1600:

1100:1600*100 =

(1100*100):1600 =

110000:1600 = 68.75

Now we have: 1100 is what percent of 1600 = 68.75

Question: 1100 is what percent of 1600?

Percentage solution with steps:

Step 1: We make the assumption that 1600 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\%}={1600}.

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

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

{100\%}={1600}(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{1600}{1100}

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

\frac{x\%}{100\%}=\frac{1100}{1600}

\Rightarrow{x} = {68.75\%}

Therefore, {1100} is {68.75\%} of {1600}.

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Solution for 1600 is what percent of 1100:

1600:1100*100 =

(1600*100):1100 =

160000:1100 = 145.45

Now we have: 1600 is what percent of 1100 = 145.45

Question: 1600 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\%}={1600}.

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

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

{x\%}={1600}(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}{1600}

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

\frac{x\%}{100\%}=\frac{1600}{1100}

\Rightarrow{x} = {145.45\%}

Therefore, {1600} is {145.45\%} of {1100}.