#### Solution for 98 is what percent of 169:

98:169*100 =

(98*100):169 =

9800:169 = 57.99

Now we have: 98 is what percent of 169 = 57.99

Question: 98 is what percent of 169?

Percentage solution with steps:

Step 1: We make the assumption that 169 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\%}={169}.

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

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

{100\%}={169}(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{169}{98}

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

\frac{x\%}{100\%}=\frac{98}{169}

\Rightarrow{x} = {57.99\%}

Therefore, {98} is {57.99\%} of {169}.

#### Solution for 169 is what percent of 98:

169:98*100 =

(169*100):98 =

16900:98 = 172.45

Now we have: 169 is what percent of 98 = 172.45

Question: 169 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\%}={169}.

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

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

{x\%}={169}(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}{169}

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

\frac{x\%}{100\%}=\frac{169}{98}

\Rightarrow{x} = {172.45\%}

Therefore, {169} is {172.45\%} of {98}.

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