Solution for 5 is what percent of 10.000:

5:10.000*100 =

(5*100):10.000 =

500:10.000 = 50

Now we have: 5 is what percent of 10.000 = 50

Question: 5 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\%}={5}.

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

{100\%}={10.000}(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{10.000}{5}

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

\frac{x\%}{100\%}=\frac{5}{10.000}

\Rightarrow{x} = {50\%}

Therefore, {5} is {50\%} of {10.000}.

Solution for 10.000 is what percent of 5:

10.000:5*100 =

(10.000*100):5 =

1000:5 = 200

Now we have: 10.000 is what percent of 5 = 200

Question: 10.000 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\%}={10.000}.

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

{100\%}={5}(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{5}{10.000}

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

\frac{x\%}{100\%}=\frac{10.000}{5}

\Rightarrow{x} = {200\%}

Therefore, {10.000} is {200\%} of {5}.

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