#### Solution for 1 is what percent of 4.62:

1:4.62*100 =

(1*100):4.62 =

100:4.62 = 21.645021645022

Now we have: 1 is what percent of 4.62 = 21.645021645022

Question: 1 is what percent of 4.62?

Percentage solution with steps:

Step 1: We make the assumption that 4.62 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\%}={4.62}.

Step 4: In the same vein, {x\%}={1}.

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

{100\%}={4.62}(1).

{x\%}={1}(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{4.62}{1}

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

\frac{x\%}{100\%}=\frac{1}{4.62}

\Rightarrow{x} = {21.645021645022\%}

Therefore, {1} is {21.645021645022\%} of {4.62}.

#### Solution for 4.62 is what percent of 1:

4.62:1*100 =

(4.62*100):1 =

462:1 = 462

Now we have: 4.62 is what percent of 1 = 462

Question: 4.62 is what percent of 1?

Percentage solution with steps:

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

Step 4: In the same vein, {x\%}={4.62}.

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

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

{x\%}={4.62}(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{1}{4.62}

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

\frac{x\%}{100\%}=\frac{4.62}{1}

\Rightarrow{x} = {462\%}

Therefore, {4.62} is {462\%} of {1}.

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