#### Solution for 109 is what percent of 464:

109:464*100 =

(109*100):464 =

10900:464 = 23.49

Now we have: 109 is what percent of 464 = 23.49

Question: 109 is what percent of 464?

Percentage solution with steps:

Step 1: We make the assumption that 464 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\%}={464}.

Step 4: In the same vein, {x\%}={109}.

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

{100\%}={464}(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{464}{109}

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

\frac{x\%}{100\%}=\frac{109}{464}

\Rightarrow{x} = {23.49\%}

Therefore, {109} is {23.49\%} of {464}.

#### Solution for 464 is what percent of 109:

464:109*100 =

(464*100):109 =

46400:109 = 425.69

Now we have: 464 is what percent of 109 = 425.69

Question: 464 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\%}={464}.

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

{100\%}={109}(1).

{x\%}={464}(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}{464}

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

\frac{x\%}{100\%}=\frac{464}{109}

\Rightarrow{x} = {425.69\%}

Therefore, {464} is {425.69\%} of {109}.

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