#### Solution for 825 is what percent of 55:

825:55*100 =

(825*100):55 =

82500:55 = 1500

Now we have: 825 is what percent of 55 = 1500

Question: 825 is what percent of 55?

Percentage solution with steps:

Step 1: We make the assumption that 55 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\%}={55}.

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

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

{100\%}={55}(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{55}{825}

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

\frac{x\%}{100\%}=\frac{825}{55}

\Rightarrow{x} = {1500\%}

Therefore, {825} is {1500\%} of {55}.

#### Solution for 55 is what percent of 825:

55:825*100 =

(55*100):825 =

5500:825 = 6.67

Now we have: 55 is what percent of 825 = 6.67

Question: 55 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\%}={55}.

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

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

{x\%}={55}(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}{55}

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

\frac{x\%}{100\%}=\frac{55}{825}

\Rightarrow{x} = {6.67\%}

Therefore, {55} is {6.67\%} of {825}.

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