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Solution for 825 is what percent of 83:

825:83*100 =

(825*100):83 =

82500:83 = 993.98

Now we have: 825 is what percent of 83 = 993.98

Question: 825 is what percent of 83?

Percentage solution with steps:

Step 1: We make the assumption that 83 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\%}={83}.

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

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

{100\%}={83}(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{83}{825}

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

\frac{x\%}{100\%}=\frac{825}{83}

\Rightarrow{x} = {993.98\%}

Therefore, {825} is {993.98\%} of {83}.

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• 825 is what percent of 49 = 1683.67
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• 825 is what percent of 99 = 833.33
• 825 is what percent of 100 = 825

Solution for 83 is what percent of 825:

83:825*100 =

(83*100):825 =

8300:825 = 10.06

Now we have: 83 is what percent of 825 = 10.06

Question: 83 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\%}={83}.

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

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

{x\%}={83}(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}{83}

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

\frac{x\%}{100\%}=\frac{83}{825}

\Rightarrow{x} = {10.06\%}

Therefore, {83} is {10.06\%} of {825}.