#### Solution for 159 is what percent of 1155:

159:1155*100 =

(159*100):1155 =

15900:1155 = 13.77

Now we have: 159 is what percent of 1155 = 13.77

Question: 159 is what percent of 1155?

Percentage solution with steps:

Step 1: We make the assumption that 1155 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\%}={1155}.

Step 4: In the same vein, {x\%}={159}.

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

{100\%}={1155}(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{1155}{159}

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

\frac{x\%}{100\%}=\frac{159}{1155}

\Rightarrow{x} = {13.77\%}

Therefore, {159} is {13.77\%} of {1155}.

#### Solution for 1155 is what percent of 159:

1155:159*100 =

(1155*100):159 =

115500:159 = 726.42

Now we have: 1155 is what percent of 159 = 726.42

Question: 1155 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\%}={1155}.

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

{100\%}={159}(1).

{x\%}={1155}(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}{1155}

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

\frac{x\%}{100\%}=\frac{1155}{159}

\Rightarrow{x} = {726.42\%}

Therefore, {1155} is {726.42\%} of {159}.

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