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Solution for 823 is what percent of 8:

823:8*100 =

(823*100):8 =

82300:8 = 10287.5

Now we have: 823 is what percent of 8 = 10287.5

Question: 823 is what percent of 8?

Percentage solution with steps:

Step 1: We make the assumption that 8 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\%}={8}.

Step 4: In the same vein, {x\%}={823}.

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

{100\%}={8}(1).

{x\%}={823}(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{8}{823}

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

\frac{x\%}{100\%}=\frac{823}{8}

\Rightarrow{x} = {10287.5\%}

Therefore, {823} is {10287.5\%} of {8}.

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• 823 is what percent of 100 = 823

Solution for 8 is what percent of 823:

8:823*100 =

(8*100):823 =

800:823 = 0.97

Now we have: 8 is what percent of 823 = 0.97

Question: 8 is what percent of 823?

Percentage solution with steps:

Step 1: We make the assumption that 823 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\%}={823}.

Step 4: In the same vein, {x\%}={8}.

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

{100\%}={823}(1).

{x\%}={8}(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{823}{8}

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

\frac{x\%}{100\%}=\frac{8}{823}

\Rightarrow{x} = {0.97\%}

Therefore, {8} is {0.97\%} of {823}.