#### Solution for 825 is what percent of 2750:

825:2750*100 =

(825*100):2750 =

82500:2750 = 30

Now we have: 825 is what percent of 2750 = 30

Question: 825 is what percent of 2750?

Percentage solution with steps:

Step 1: We make the assumption that 2750 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\%}={2750}.

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

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

{100\%}={2750}(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{2750}{825}

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

\frac{x\%}{100\%}=\frac{825}{2750}

\Rightarrow{x} = {30\%}

Therefore, {825} is {30\%} of {2750}.

#### Solution for 2750 is what percent of 825:

2750:825*100 =

(2750*100):825 =

275000:825 = 333.33

Now we have: 2750 is what percent of 825 = 333.33

Question: 2750 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\%}={2750}.

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

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

{x\%}={2750}(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}{2750}

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

\frac{x\%}{100\%}=\frac{2750}{825}

\Rightarrow{x} = {333.33\%}

Therefore, {2750} is {333.33\%} of {825}.

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