#### Solution for 500 is what percent of 82000:

500:82000*100 =

(500*100):82000 =

50000:82000 = 0.61

Now we have: 500 is what percent of 82000 = 0.61

Question: 500 is what percent of 82000?

Percentage solution with steps:

Step 1: We make the assumption that 82000 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\%}={82000}.

Step 4: In the same vein, {x\%}={500}.

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

{100\%}={82000}(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{82000}{500}

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

\frac{x\%}{100\%}=\frac{500}{82000}

\Rightarrow{x} = {0.61\%}

Therefore, {500} is {0.61\%} of {82000}.

#### Solution for 82000 is what percent of 500:

82000:500*100 =

(82000*100):500 =

8200000:500 = 16400

Now we have: 82000 is what percent of 500 = 16400

Question: 82000 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\%}={82000}.

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

{100\%}={500}(1).

{x\%}={82000}(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}{82000}

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

\frac{x\%}{100\%}=\frac{82000}{500}

\Rightarrow{x} = {16400\%}

Therefore, {82000} is {16400\%} of {500}.

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