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Solution for 825 is what percent of 37:

825:37*100 =

(825*100):37 =

82500:37 = 2229.73

Now we have: 825 is what percent of 37 = 2229.73

Question: 825 is what percent of 37?

Percentage solution with steps:

Step 1: We make the assumption that 37 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\%}={37}.

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

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

{100\%}={37}(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{37}{825}

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

\frac{x\%}{100\%}=\frac{825}{37}

\Rightarrow{x} = {2229.73\%}

Therefore, {825} is {2229.73\%} of {37}.

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• 825 is what percent of 100 = 825

Solution for 37 is what percent of 825:

37:825*100 =

(37*100):825 =

3700:825 = 4.48

Now we have: 37 is what percent of 825 = 4.48

Question: 37 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\%}={37}.

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

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

{x\%}={37}(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}{37}

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

\frac{x\%}{100\%}=\frac{37}{825}

\Rightarrow{x} = {4.48\%}

Therefore, {37} is {4.48\%} of {825}.