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Solution for 1005 is what percent of 55:

1005:55*100 =

(1005*100):55 =

100500:55 = 1827.27

Now we have: 1005 is what percent of 55 = 1827.27

Question: 1005 is what percent of 55?

Percentage solution with steps:

Step 1: We make the assumption that 55 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\%}={55}.

Step 4: In the same vein, {x\%}={1005}.

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

{100\%}={55}(1).

{x\%}={1005}(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{55}{1005}

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

\frac{x\%}{100\%}=\frac{1005}{55}

\Rightarrow{x} = {1827.27\%}

Therefore, {1005} is {1827.27\%} of {55}.

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Solution for 55 is what percent of 1005:

55:1005*100 =

(55*100):1005 =

5500:1005 = 5.47

Now we have: 55 is what percent of 1005 = 5.47

Question: 55 is what percent of 1005?

Percentage solution with steps:

Step 1: We make the assumption that 1005 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\%}={1005}.

Step 4: In the same vein, {x\%}={55}.

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

{100\%}={1005}(1).

{x\%}={55}(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{1005}{55}

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

\frac{x\%}{100\%}=\frac{55}{1005}

\Rightarrow{x} = {5.47\%}

Therefore, {55} is {5.47\%} of {1005}.