#### Solution for 5 is what percent of 200:

5:200*100 =

( 5*100):200 =

500:200 = 2.5

Now we have: 5 is what percent of 200 = 2.5

Question: 5 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\%}={ 5}.

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

{100\%}={200}(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{200}{ 5}

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

\frac{x\%}{100\%}=\frac{ 5}{200}

\Rightarrow{x} = {2.5\%}

Therefore, { 5} is {2.5\%} of {200}.

#### Solution for 200 is what percent of 5:

200: 5*100 =

(200*100): 5 =

20000: 5 = 4000

Now we have: 200 is what percent of 5 = 4000

Question: 200 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\%}={200}.

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

{100\%}={ 5}(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{ 5}{200}

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

\frac{x\%}{100\%}=\frac{200}{ 5}

\Rightarrow{x} = {4000\%}

Therefore, {200} is {4000\%} of { 5}.

Calculation Samples