#### Solution for 5 is what percent of 4.01:

5:4.01*100 =

(5*100):4.01 =

500:4.01 = 124.68827930175

Now we have: 5 is what percent of 4.01 = 124.68827930175

Question: 5 is what percent of 4.01?

Percentage solution with steps:

Step 1: We make the assumption that 4.01 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\%}={4.01}.

Step 4: In the same vein, {x\%}={5}.

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

{100\%}={4.01}(1).

{x\%}={5}(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{4.01}{5}

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

\frac{x\%}{100\%}=\frac{5}{4.01}

\Rightarrow{x} = {124.68827930175\%}

Therefore, {5} is {124.68827930175\%} of {4.01}.

#### Solution for 4.01 is what percent of 5:

4.01:5*100 =

(4.01*100):5 =

401:5 = 80.2

Now we have: 4.01 is what percent of 5 = 80.2

Question: 4.01 is what percent of 5?

Percentage solution with steps:

Step 1: We make the assumption that 5 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\%}={5}.

Step 4: In the same vein, {x\%}={4.01}.

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

{100\%}={5}(1).

{x\%}={4.01}(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{5}{4.01}

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

\frac{x\%}{100\%}=\frac{4.01}{5}

\Rightarrow{x} = {80.2\%}

Therefore, {4.01} is {80.2\%} of {5}.

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