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Solution for 1022 is what percent of 52:

1022:52*100 =

(1022*100):52 =

102200:52 = 1965.38

Now we have: 1022 is what percent of 52 = 1965.38

Question: 1022 is what percent of 52?

Percentage solution with steps:

Step 1: We make the assumption that 52 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\%}={52}.

Step 4: In the same vein, {x\%}={1022}.

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

{100\%}={52}(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{52}{1022}

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

\frac{x\%}{100\%}=\frac{1022}{52}

\Rightarrow{x} = {1965.38\%}

Therefore, {1022} is {1965.38\%} of {52}.

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Solution for 52 is what percent of 1022:

52:1022*100 =

(52*100):1022 =

5200:1022 = 5.09

Now we have: 52 is what percent of 1022 = 5.09

Question: 52 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\%}={52}.

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

{100\%}={1022}(1).

{x\%}={52}(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}{52}

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

\frac{x\%}{100\%}=\frac{52}{1022}

\Rightarrow{x} = {5.09\%}

Therefore, {52} is {5.09\%} of {1022}.