#### Solution for 98 is what percent of 466:

98:466*100 =

(98*100):466 =

9800:466 = 21.03

Now we have: 98 is what percent of 466 = 21.03

Question: 98 is what percent of 466?

Percentage solution with steps:

Step 1: We make the assumption that 466 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\%}={466}.

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

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

{100\%}={466}(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{466}{98}

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

\frac{x\%}{100\%}=\frac{98}{466}

\Rightarrow{x} = {21.03\%}

Therefore, {98} is {21.03\%} of {466}.

#### Solution for 466 is what percent of 98:

466:98*100 =

(466*100):98 =

46600:98 = 475.51

Now we have: 466 is what percent of 98 = 475.51

Question: 466 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\%}={466}.

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

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

{x\%}={466}(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}{466}

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

\frac{x\%}{100\%}=\frac{466}{98}

\Rightarrow{x} = {475.51\%}

Therefore, {466} is {475.51\%} of {98}.

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