#### Solution for 825 is what percent of 900:

825:900*100 =

(825*100):900 =

82500:900 = 91.67

Now we have: 825 is what percent of 900 = 91.67

Question: 825 is what percent of 900?

Percentage solution with steps:

Step 1: We make the assumption that 900 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\%}={900}.

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

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

{100\%}={900}(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{900}{825}

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

\frac{x\%}{100\%}=\frac{825}{900}

\Rightarrow{x} = {91.67\%}

Therefore, {825} is {91.67\%} of {900}.

#### Solution for 900 is what percent of 825:

900:825*100 =

(900*100):825 =

90000:825 = 109.09

Now we have: 900 is what percent of 825 = 109.09

Question: 900 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\%}={900}.

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

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

{x\%}={900}(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}{900}

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

\frac{x\%}{100\%}=\frac{900}{825}

\Rightarrow{x} = {109.09\%}

Therefore, {900} is {109.09\%} of {825}.

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