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Solution for 109 is what percent of 98:

109:98*100 =

(109*100):98 =

10900:98 = 111.22

Now we have: 109 is what percent of 98 = 111.22

Question: 109 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\%}={109}.

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

{100\%}={98}(1).

{x\%}={109}(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}{109}

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

\frac{x\%}{100\%}=\frac{109}{98}

\Rightarrow{x} = {111.22\%}

Therefore, {109} is {111.22\%} of {98}.

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Solution for 98 is what percent of 109:

98:109*100 =

(98*100):109 =

9800:109 = 89.91

Now we have: 98 is what percent of 109 = 89.91

Question: 98 is what percent of 109?

Percentage solution with steps:

Step 1: We make the assumption that 109 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\%}={109}.

Step 4: In the same vein, {x\%}={98}.

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

{100\%}={109}(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{109}{98}

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

\frac{x\%}{100\%}=\frac{98}{109}

\Rightarrow{x} = {89.91\%}

Therefore, {98} is {89.91\%} of {109}.