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Solution for 1022 is what percent of 42:

1022:42*100 =

(1022*100):42 =

102200:42 = 2433.33

Now we have: 1022 is what percent of 42 = 2433.33

Question: 1022 is what percent of 42?

Percentage solution with steps:

Step 1: We make the assumption that 42 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\%}={42}.

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

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

{100\%}={42}(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{42}{1022}

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

\frac{x\%}{100\%}=\frac{1022}{42}

\Rightarrow{x} = {2433.33\%}

Therefore, {1022} is {2433.33\%} of {42}.

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Solution for 42 is what percent of 1022:

42:1022*100 =

(42*100):1022 =

4200:1022 = 4.11

Now we have: 42 is what percent of 1022 = 4.11

Question: 42 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\%}={42}.

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

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

{x\%}={42}(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}{42}

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

\frac{x\%}{100\%}=\frac{42}{1022}

\Rightarrow{x} = {4.11\%}

Therefore, {42} is {4.11\%} of {1022}.