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Solution for 8500 is what percent of 82:

8500:82*100 =

(8500*100):82 =

850000:82 = 10365.85

Now we have: 8500 is what percent of 82 = 10365.85

Question: 8500 is what percent of 82?

Percentage solution with steps:

Step 1: We make the assumption that 82 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\%}={82}.

Step 4: In the same vein, {x\%}={8500}.

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

{100\%}={82}(1).

{x\%}={8500}(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{82}{8500}

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

\frac{x\%}{100\%}=\frac{8500}{82}

\Rightarrow{x} = {10365.85\%}

Therefore, {8500} is {10365.85\%} of {82}.

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Solution for 82 is what percent of 8500:

82:8500*100 =

(82*100):8500 =

8200:8500 = 0.96

Now we have: 82 is what percent of 8500 = 0.96

Question: 82 is what percent of 8500?

Percentage solution with steps:

Step 1: We make the assumption that 8500 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\%}={8500}.

Step 4: In the same vein, {x\%}={82}.

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

{100\%}={8500}(1).

{x\%}={82}(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{8500}{82}

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

\frac{x\%}{100\%}=\frac{82}{8500}

\Rightarrow{x} = {0.96\%}

Therefore, {82} is {0.96\%} of {8500}.