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Solution for 822 is what percent of 42:

822:42*100 =

(822*100):42 =

82200:42 = 1957.14

Now we have: 822 is what percent of 42 = 1957.14

Question: 822 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\%}={822}.

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

{100\%}={42}(1).

{x\%}={822}(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}{822}

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

\frac{x\%}{100\%}=\frac{822}{42}

\Rightarrow{x} = {1957.14\%}

Therefore, {822} is {1957.14\%} of {42}.

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Solution for 42 is what percent of 822:

42:822*100 =

(42*100):822 =

4200:822 = 5.11

Now we have: 42 is what percent of 822 = 5.11

Question: 42 is what percent of 822?

Percentage solution with steps:

Step 1: We make the assumption that 822 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\%}={822}.

Step 4: In the same vein, {x\%}={42}.

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

{100\%}={822}(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{822}{42}

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

\frac{x\%}{100\%}=\frac{42}{822}

\Rightarrow{x} = {5.11\%}

Therefore, {42} is {5.11\%} of {822}.