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Solution for 98 is what percent of 80:

98:80*100 =

(98*100):80 =

9800:80 = 122.5

Now we have: 98 is what percent of 80 = 122.5

Question: 98 is what percent of 80?

Percentage solution with steps:

Step 1: We make the assumption that 80 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\%}={80}.

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

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

{100\%}={80}(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{80}{98}

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

\frac{x\%}{100\%}=\frac{98}{80}

\Rightarrow{x} = {122.5\%}

Therefore, {98} is {122.5\%} of {80}.

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Solution for 80 is what percent of 98:

80:98*100 =

(80*100):98 =

8000:98 = 81.63

Now we have: 80 is what percent of 98 = 81.63

Question: 80 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\%}={80}.

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

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

{x\%}={80}(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}{80}

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

\frac{x\%}{100\%}=\frac{80}{98}

\Rightarrow{x} = {81.63\%}

Therefore, {80} is {81.63\%} of {98}.