Percentage Calculator: 10 is what percent of 20.00? = 50

Solution for 10 is what percent of 20.00:

10:20.00*100 =

( 10*100):20.00 =

1000:20.00 = 50

Now we have: 10 is what percent of 20.00 = 50

Question: 10 is what percent of 20.00?

Percentage solution with steps:

Step 1: We make the assumption that 20.00 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\%}={20.00}.

Step 4: In the same vein, {x\%}={ 10}.

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

{100\%}={20.00}(1).

{x\%}={ 10}(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{20.00}{ 10}

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

\frac{x\%}{100\%}=\frac{ 10}{20.00}

\Rightarrow{x} = {50\%}

Therefore, { 10} is {50\%} of {20.00}.

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Solution for 20.00 is what percent of 10:

20.00: 10*100 =

(20.00*100): 10 =

2000: 10 = 200

Now we have: 20.00 is what percent of 10 = 200

Question: 20.00 is what percent of 10?

Percentage solution with steps:

Step 1: We make the assumption that 10 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}.

Step 4: In the same vein, {x\%}={20.00}.

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

{100\%}={ 10}(1).

{x\%}={20.00}(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}{20.00}

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

\frac{x\%}{100\%}=\frac{20.00}{ 10}

\Rightarrow{x} = {200\%}

Therefore, {20.00} is {200\%} of { 10}.

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