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Solution for 1002 is what percent of 85:

1002:85*100 =

(1002*100):85 =

100200:85 = 1178.82

Now we have: 1002 is what percent of 85 = 1178.82

Question: 1002 is what percent of 85?

Percentage solution with steps:

Step 1: We make the assumption that 85 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\%}={85}.

Step 4: In the same vein, {x\%}={1002}.

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

{100\%}={85}(1).

{x\%}={1002}(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{85}{1002}

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

\frac{x\%}{100\%}=\frac{1002}{85}

\Rightarrow{x} = {1178.82\%}

Therefore, {1002} is {1178.82\%} of {85}.

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Solution for 85 is what percent of 1002:

85:1002*100 =

(85*100):1002 =

8500:1002 = 8.48

Now we have: 85 is what percent of 1002 = 8.48

Question: 85 is what percent of 1002?

Percentage solution with steps:

Step 1: We make the assumption that 1002 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\%}={1002}.

Step 4: In the same vein, {x\%}={85}.

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

{100\%}={1002}(1).

{x\%}={85}(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{1002}{85}

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

\frac{x\%}{100\%}=\frac{85}{1002}

\Rightarrow{x} = {8.48\%}

Therefore, {85} is {8.48\%} of {1002}.