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Solution for 829 is what percent of 40:

829:40*100 =

(829*100):40 =

82900:40 = 2072.5

Now we have: 829 is what percent of 40 = 2072.5

Question: 829 is what percent of 40?

Percentage solution with steps:

Step 1: We make the assumption that 40 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\%}={40}.

Step 4: In the same vein, {x\%}={829}.

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

{100\%}={40}(1).

{x\%}={829}(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{40}{829}

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

\frac{x\%}{100\%}=\frac{829}{40}

\Rightarrow{x} = {2072.5\%}

Therefore, {829} is {2072.5\%} of {40}.

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• 829 is what percent of 100 = 829

Solution for 40 is what percent of 829:

40:829*100 =

(40*100):829 =

4000:829 = 4.83

Now we have: 40 is what percent of 829 = 4.83

Question: 40 is what percent of 829?

Percentage solution with steps:

Step 1: We make the assumption that 829 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\%}={829}.

Step 4: In the same vein, {x\%}={40}.

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

{100\%}={829}(1).

{x\%}={40}(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{829}{40}

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

\frac{x\%}{100\%}=\frac{40}{829}

\Rightarrow{x} = {4.83\%}

Therefore, {40} is {4.83\%} of {829}.