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Solution for 10.000 is what percent of 20:

10.000:20*100 =

(10.000*100):20 =

1000:20 = 50

Now we have: 10.000 is what percent of 20 = 50

Question: 10.000 is what percent of 20?

Percentage solution with steps:

Step 1: We make the assumption that 20 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\%}={20}.

Step 4: In the same vein, {x\%}={10.000}.

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

{100\%}={20}(1).

{x\%}={10.000}(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{20}{10.000}

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

\frac{x\%}{100\%}=\frac{10.000}{20}

\Rightarrow{x} = {50\%}

Therefore, {10.000} is {50\%} of {20}.

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Solution for 20 is what percent of 10.000:

20:10.000*100 =

(20*100):10.000 =

2000:10.000 = 200

Now we have: 20 is what percent of 10.000 = 200

Question: 20 is what percent of 10.000?

Percentage solution with steps:

Step 1: We make the assumption that 10.000 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\%}={10.000}.

Step 4: In the same vein, {x\%}={20}.

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

{100\%}={10.000}(1).

{x\%}={20}(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{10.000}{20}

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

\frac{x\%}{100\%}=\frac{20}{10.000}

\Rightarrow{x} = {200\%}

Therefore, {20} is {200\%} of {10.000}.