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Solution for 825 is what percent of 42:

825:42*100 =

(825*100):42 =

82500:42 = 1964.29

Now we have: 825 is what percent of 42 = 1964.29

Question: 825 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\%}={825}.

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

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

{x\%}={825}(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}{825}

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

\frac{x\%}{100\%}=\frac{825}{42}

\Rightarrow{x} = {1964.29\%}

Therefore, {825} is {1964.29\%} of {42}.

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• 825 is what percent of 41 = 2012.2
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• 825 is what percent of 100 = 825

Solution for 42 is what percent of 825:

42:825*100 =

(42*100):825 =

4200:825 = 5.09

Now we have: 42 is what percent of 825 = 5.09

Question: 42 is what percent of 825?

Percentage solution with steps:

Step 1: We make the assumption that 825 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\%}={825}.

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

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

{100\%}={825}(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{825}{42}

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

\frac{x\%}{100\%}=\frac{42}{825}

\Rightarrow{x} = {5.09\%}

Therefore, {42} is {5.09\%} of {825}.