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Solution for 829 is what percent of 55:

829:55*100 =

(829*100):55 =

82900:55 = 1507.27

Now we have: 829 is what percent of 55 = 1507.27

Question: 829 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\%}={829}.

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

{100\%}={55}(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{55}{829}

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

\frac{x\%}{100\%}=\frac{829}{55}

\Rightarrow{x} = {1507.27\%}

Therefore, {829} is {1507.27\%} of {55}.

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• 829 is what percent of 100 = 829

Solution for 55 is what percent of 829:

55:829*100 =

(55*100):829 =

5500:829 = 6.63

Now we have: 55 is what percent of 829 = 6.63

Question: 55 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\%}={55}.

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

{100\%}={829}(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{829}{55}

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

\frac{x\%}{100\%}=\frac{55}{829}

\Rightarrow{x} = {6.63\%}

Therefore, {55} is {6.63\%} of {829}.