#### Solution for 1.000 is what percent of 5.000:

1.000:5.000*100 =

(1.000*100):5.000 =

100:5.000 = 20

Now we have: 1.000 is what percent of 5.000 = 20

Question: 1.000 is what percent of 5.000?

Percentage solution with steps:

Step 1: We make the assumption that 5.000 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\%}={5.000}.

Step 4: In the same vein, {x\%}={1.000}.

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

{100\%}={5.000}(1).

{x\%}={1.000}(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{5.000}{1.000}

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

\frac{x\%}{100\%}=\frac{1.000}{5.000}

\Rightarrow{x} = {20\%}

Therefore, {1.000} is {20\%} of {5.000}.

#### Solution for 5.000 is what percent of 1.000:

5.000:1.000*100 =

(5.000*100):1.000 =

500:1.000 = 500

Now we have: 5.000 is what percent of 1.000 = 500

Question: 5.000 is what percent of 1.000?

Percentage solution with steps:

Step 1: We make the assumption that 1.000 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\%}={1.000}.

Step 4: In the same vein, {x\%}={5.000}.

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

{100\%}={1.000}(1).

{x\%}={5.000}(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{1.000}{5.000}

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

\frac{x\%}{100\%}=\frac{5.000}{1.000}

\Rightarrow{x} = {500\%}

Therefore, {5.000} is {500\%} of {1.000}.

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