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Solution for 823 is what percent of 500:

823:500*100 =

(823*100):500 =

82300:500 = 164.6

Now we have: 823 is what percent of 500 = 164.6

Question: 823 is what percent of 500?

Percentage solution with steps:

Step 1: We make the assumption that 500 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\%}={500}.

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

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

{100\%}={500}(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{500}{823}

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

\frac{x\%}{100\%}=\frac{823}{500}

\Rightarrow{x} = {164.6\%}

Therefore, {823} is {164.6\%} of {500}.

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• 823 is what percent of 100 = 823

Solution for 500 is what percent of 823:

500:823*100 =

(500*100):823 =

50000:823 = 60.75

Now we have: 500 is what percent of 823 = 60.75

Question: 500 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\%}={500}.

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

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

{x\%}={500}(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}{500}

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

\frac{x\%}{100\%}=\frac{500}{823}

\Rightarrow{x} = {60.75\%}

Therefore, {500} is {60.75\%} of {823}.