#### Solution for 144 is what percent of 160:

144:160*100 =

(144*100):160 =

14400:160 = 90

Now we have: 144 is what percent of 160 = 90

Question: 144 is what percent of 160?

Percentage solution with steps:

Step 1: We make the assumption that 160 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\%}={160}.

Step 4: In the same vein, {x\%}={144}.

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

{100\%}={160}(1).

{x\%}={144}(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{160}{144}

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

\frac{x\%}{100\%}=\frac{144}{160}

\Rightarrow{x} = {90\%}

Therefore, {144} is {90\%} of {160}.

#### Solution for 160 is what percent of 144:

160:144*100 =

(160*100):144 =

16000:144 = 111.11

Now we have: 160 is what percent of 144 = 111.11

Question: 160 is what percent of 144?

Percentage solution with steps:

Step 1: We make the assumption that 144 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\%}={144}.

Step 4: In the same vein, {x\%}={160}.

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

{100\%}={144}(1).

{x\%}={160}(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{144}{160}

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

\frac{x\%}{100\%}=\frac{160}{144}

\Rightarrow{x} = {111.11\%}

Therefore, {160} is {111.11\%} of {144}.

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