#### Solution for 524 is what percent of 1100:

524:1100*100 =

(524*100):1100 =

52400:1100 = 47.64

Now we have: 524 is what percent of 1100 = 47.64

Question: 524 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\%}={524}.

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

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

{x\%}={524}(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}{524}

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

\frac{x\%}{100\%}=\frac{524}{1100}

\Rightarrow{x} = {47.64\%}

Therefore, {524} is {47.64\%} of {1100}.

#### Solution for 1100 is what percent of 524:

1100:524*100 =

(1100*100):524 =

110000:524 = 209.92

Now we have: 1100 is what percent of 524 = 209.92

Question: 1100 is what percent of 524?

Percentage solution with steps:

Step 1: We make the assumption that 524 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\%}={524}.

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

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

{100\%}={524}(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{524}{1100}

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

\frac{x\%}{100\%}=\frac{1100}{524}

\Rightarrow{x} = {209.92\%}

Therefore, {1100} is {209.92\%} of {524}.

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