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Solution for 55 is what percent of 1020:

55:1020*100 =

(55*100):1020 =

5500:1020 = 5.39

Now we have: 55 is what percent of 1020 = 5.39

Question: 55 is what percent of 1020?

Percentage solution with steps:

Step 1: We make the assumption that 1020 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\%}={1020}.

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

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

{100\%}={1020}(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{1020}{55}

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

\frac{x\%}{100\%}=\frac{55}{1020}

\Rightarrow{x} = {5.39\%}

Therefore, {55} is {5.39\%} of {1020}.

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Solution for 1020 is what percent of 55:

1020:55*100 =

(1020*100):55 =

102000:55 = 1854.55

Now we have: 1020 is what percent of 55 = 1854.55

Question: 1020 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\%}={1020}.

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

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

{x\%}={1020}(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}{1020}

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

\frac{x\%}{100\%}=\frac{1020}{55}

\Rightarrow{x} = {1854.55\%}

Therefore, {1020} is {1854.55\%} of {55}.