#### Solution for 302 is what percent of 825:

302:825*100 =

(302*100):825 =

30200:825 = 36.61

Now we have: 302 is what percent of 825 = 36.61

Question: 302 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\%}={302}.

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

{100\%}={825}(1).

{x\%}={302}(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}{302}

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

\frac{x\%}{100\%}=\frac{302}{825}

\Rightarrow{x} = {36.61\%}

Therefore, {302} is {36.61\%} of {825}.

#### Solution for 825 is what percent of 302:

825:302*100 =

(825*100):302 =

82500:302 = 273.18

Now we have: 825 is what percent of 302 = 273.18

Question: 825 is what percent of 302?

Percentage solution with steps:

Step 1: We make the assumption that 302 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\%}={302}.

Step 4: In the same vein, {x\%}={825}.

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

{100\%}={302}(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{302}{825}

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

\frac{x\%}{100\%}=\frac{825}{302}

\Rightarrow{x} = {273.18\%}

Therefore, {825} is {273.18\%} of {302}.

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