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Solution for 1102.5 is what percent of 85:

1102.5:85*100 =

(1102.5*100):85 =

110250:85 = 1297.0588235294

Now we have: 1102.5 is what percent of 85 = 1297.0588235294

Question: 1102.5 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\%}={1102.5}.

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

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

{x\%}={1102.5}(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}{1102.5}

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

\frac{x\%}{100\%}=\frac{1102.5}{85}

\Rightarrow{x} = {1297.0588235294\%}

Therefore, {1102.5} is {1297.0588235294\%} of {85}.

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• 1102.5 is what percent of 100 = 1102.5

Solution for 85 is what percent of 1102.5:

85:1102.5*100 =

(85*100):1102.5 =

8500:1102.5 = 7.7097505668934

Now we have: 85 is what percent of 1102.5 = 7.7097505668934

Question: 85 is what percent of 1102.5?

Percentage solution with steps:

Step 1: We make the assumption that 1102.5 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\%}={1102.5}.

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

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

{100\%}={1102.5}(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{1102.5}{85}

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

\frac{x\%}{100\%}=\frac{85}{1102.5}

\Rightarrow{x} = {7.7097505668934\%}

Therefore, {85} is {7.7097505668934\%} of {1102.5}.