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Solution for 98 is what percent of 85:

98:85*100 =

(98*100):85 =

9800:85 = 115.29

Now we have: 98 is what percent of 85 = 115.29

Question: 98 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\%}={98}.

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

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

{x\%}={98}(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}{98}

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

\frac{x\%}{100\%}=\frac{98}{85}

\Rightarrow{x} = {115.29\%}

Therefore, {98} is {115.29\%} of {85}.

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Solution for 85 is what percent of 98:

85:98*100 =

(85*100):98 =

8500:98 = 86.73

Now we have: 85 is what percent of 98 = 86.73

Question: 85 is what percent of 98?

Percentage solution with steps:

Step 1: We make the assumption that 98 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\%}={98}.

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

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

{100\%}={98}(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{98}{85}

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

\frac{x\%}{100\%}=\frac{85}{98}

\Rightarrow{x} = {86.73\%}

Therefore, {85} is {86.73\%} of {98}.