Solution for 200 is what percent of 2000:

200: 2000*100 =

( 200*100): 2000 =

20000: 2000 = 10

Now we have: 200 is what percent of 2000 = 10

Question: 200 is what percent of 2000?

Percentage solution with steps:

Step 1: We make the assumption that 2000 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\%}={ 2000}.

Step 4: In the same vein, {x\%}={ 200}.

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

{100\%}={ 2000}(1).

{x\%}={ 200}(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{ 2000}{ 200}

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

\frac{x\%}{100\%}=\frac{ 200}{ 2000}

\Rightarrow{x} = {10\%}

Therefore, { 200} is {10\%} of { 2000}.

Solution for 2000 is what percent of 200:

2000: 200*100 =

( 2000*100): 200 =

200000: 200 = 1000

Now we have: 2000 is what percent of 200 = 1000

Question: 2000 is what percent of 200?

Percentage solution with steps:

Step 1: We make the assumption that 200 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\%}={ 200}.

Step 4: In the same vein, {x\%}={ 2000}.

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

{100\%}={ 200}(1).

{x\%}={ 2000}(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{ 200}{ 2000}

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

\frac{x\%}{100\%}=\frac{ 2000}{ 200}

\Rightarrow{x} = {1000\%}

Therefore, { 2000} is {1000\%} of { 200}.