#### Solution for 81 is what percent of 98:

81:98*100 =

(81*100):98 =

8100:98 = 82.65

Now we have: 81 is what percent of 98 = 82.65

Question: 81 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\%}={81}.

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

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

{x\%}={81}(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}{81}

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

\frac{x\%}{100\%}=\frac{81}{98}

\Rightarrow{x} = {82.65\%}

Therefore, {81} is {82.65\%} of {98}.

#### Solution for 98 is what percent of 81:

98:81*100 =

(98*100):81 =

9800:81 = 120.99

Now we have: 98 is what percent of 81 = 120.99

Question: 98 is what percent of 81?

Percentage solution with steps:

Step 1: We make the assumption that 81 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\%}={81}.

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

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

{100\%}={81}(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{81}{98}

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

\frac{x\%}{100\%}=\frac{98}{81}

\Rightarrow{x} = {120.99\%}

Therefore, {98} is {120.99\%} of {81}.

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