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Solution for 120.7 is what percent of 85:

120.7:85*100 =

(120.7*100):85 =

12070:85 = 142

Now we have: 120.7 is what percent of 85 = 142

Question: 120.7 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\%}={120.7}.

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

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

{x\%}={120.7}(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}{120.7}

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

\frac{x\%}{100\%}=\frac{120.7}{85}

\Rightarrow{x} = {142\%}

Therefore, {120.7} is {142\%} of {85}.

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• 120.7 is what percent of 100 = 120.7

Solution for 85 is what percent of 120.7:

85:120.7*100 =

(85*100):120.7 =

8500:120.7 = 70.422535211268

Now we have: 85 is what percent of 120.7 = 70.422535211268

Question: 85 is what percent of 120.7?

Percentage solution with steps:

Step 1: We make the assumption that 120.7 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\%}={120.7}.

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

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

{100\%}={120.7}(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{120.7}{85}

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

\frac{x\%}{100\%}=\frac{85}{120.7}

\Rightarrow{x} = {70.422535211268\%}

Therefore, {85} is {70.422535211268\%} of {120.7}.