#### Solution for 159 is what percent of 200:

159: 200*100 =

(159*100): 200 =

15900: 200 = 79.5

Now we have: 159 is what percent of 200 = 79.5

Question: 159 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\%}={159}.

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

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

{x\%}={159}(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}{159}

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

\frac{x\%}{100\%}=\frac{159}{ 200}

\Rightarrow{x} = {79.5\%}

Therefore, {159} is {79.5\%} of { 200}.

#### Solution for 200 is what percent of 159:

200:159*100 =

( 200*100):159 =

20000:159 = 125.79

Now we have: 200 is what percent of 159 = 125.79

Question: 200 is what percent of 159?

Percentage solution with steps:

Step 1: We make the assumption that 159 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\%}={159}.

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

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

{100\%}={159}(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{159}{ 200}

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

\frac{x\%}{100\%}=\frac{ 200}{159}

\Rightarrow{x} = {125.79\%}

Therefore, { 200} is {125.79\%} of {159}.

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