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Solution for 101.0 is what percent of 85:

101.0:85*100 =

(101.0*100):85 =

10100:85 = 118.82352941176

Now we have: 101.0 is what percent of 85 = 118.82352941176

Question: 101.0 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\%}={101.0}.

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

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

{x\%}={101.0}(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}{101.0}

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

\frac{x\%}{100\%}=\frac{101.0}{85}

\Rightarrow{x} = {118.82352941176\%}

Therefore, {101.0} is {118.82352941176\%} of {85}.

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• 101.0 is what percent of 100 = 101

Solution for 85 is what percent of 101.0:

85:101.0*100 =

(85*100):101.0 =

8500:101.0 = 84.158415841584

Now we have: 85 is what percent of 101.0 = 84.158415841584

Question: 85 is what percent of 101.0?

Percentage solution with steps:

Step 1: We make the assumption that 101.0 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\%}={101.0}.

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

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

{100\%}={101.0}(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{101.0}{85}

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

\frac{x\%}{100\%}=\frac{85}{101.0}

\Rightarrow{x} = {84.158415841584\%}

Therefore, {85} is {84.158415841584\%} of {101.0}.