#### Solution for 823 is what percent of 100:

823:100*100 =

(823*100):100 =

82300:100 = 823

Now we have: 823 is what percent of 100 = 823

Question: 823 is what percent of 100?

Percentage solution with steps:

Step 1: We make the assumption that 100 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\%}={100}.

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

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

{100\%}={100}(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{100}{823}

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

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

\Rightarrow{x} = {823\%}

Therefore, {823} is {823\%} of {100}.

#### Solution for 100 is what percent of 823:

100:823*100 =

(100*100):823 =

10000:823 = 12.15

Now we have: 100 is what percent of 823 = 12.15

Question: 100 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\%}={100}.

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

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

{x\%}={100}(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}{100}

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

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

\Rightarrow{x} = {12.15\%}

Therefore, {100} is {12.15\%} of {823}.

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