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Solution for 85 is what percent of 16:

85:16*100 =

(85*100):16 =

8500:16 = 531.25

Now we have: 85 is what percent of 16 = 531.25

Question: 85 is what percent of 16?

Percentage solution with steps:

Step 1: We make the assumption that 16 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\%}={16}.

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

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

{100\%}={16}(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{16}{85}

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

\frac{x\%}{100\%}=\frac{85}{16}

\Rightarrow{x} = {531.25\%}

Therefore, {85} is {531.25\%} of {16}.

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• 85 is what percent of 16 = 531.25
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Solution for 16 is what percent of 85:

16:85*100 =

(16*100):85 =

1600:85 = 18.82

Now we have: 16 is what percent of 85 = 18.82

Question: 16 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\%}={16}.

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

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

{x\%}={16}(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}{16}

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

\frac{x\%}{100\%}=\frac{16}{85}

\Rightarrow{x} = {18.82\%}

Therefore, {16} is {18.82\%} of {85}.