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Solution for 1022 is what percent of 55:

1022:55*100 =

(1022*100):55 =

102200:55 = 1858.18

Now we have: 1022 is what percent of 55 = 1858.18

Question: 1022 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\%}={1022}.

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

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

{x\%}={1022}(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}{1022}

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

\frac{x\%}{100\%}=\frac{1022}{55}

\Rightarrow{x} = {1858.18\%}

Therefore, {1022} is {1858.18\%} of {55}.

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Solution for 55 is what percent of 1022:

55:1022*100 =

(55*100):1022 =

5500:1022 = 5.38

Now we have: 55 is what percent of 1022 = 5.38

Question: 55 is what percent of 1022?

Percentage solution with steps:

Step 1: We make the assumption that 1022 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\%}={1022}.

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

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

{100\%}={1022}(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{1022}{55}

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

\frac{x\%}{100\%}=\frac{55}{1022}

\Rightarrow{x} = {5.38\%}

Therefore, {55} is {5.38\%} of {1022}.