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Solution for 5.0 is what percent of 85:

5.0:85*100 =

(5.0*100):85 =

500:85 = 5.8823529411765

Now we have: 5.0 is what percent of 85 = 5.8823529411765

Question: 5.0 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\%}={5.0}.

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

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

{x\%}={5.0}(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}{5.0}

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

\frac{x\%}{100\%}=\frac{5.0}{85}

\Rightarrow{x} = {5.8823529411765\%}

Therefore, {5.0} is {5.8823529411765\%} of {85}.

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Solution for 85 is what percent of 5.0:

85:5.0*100 =

(85*100):5.0 =

8500:5.0 = 1700

Now we have: 85 is what percent of 5.0 = 1700

Question: 85 is what percent of 5.0?

Percentage solution with steps:

Step 1: We make the assumption that 5.0 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\%}={5.0}.

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

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

{100\%}={5.0}(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{5.0}{85}

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

\frac{x\%}{100\%}=\frac{85}{5.0}

\Rightarrow{x} = {1700\%}

Therefore, {85} is {1700\%} of {5.0}.