#### Solution for 144 is what percent of 178:

144:178*100 =

(144*100):178 =

14400:178 = 80.9

Now we have: 144 is what percent of 178 = 80.9

Question: 144 is what percent of 178?

Percentage solution with steps:

Step 1: We make the assumption that 178 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\%}={178}.

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

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

{100\%}={178}(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{178}{144}

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

\frac{x\%}{100\%}=\frac{144}{178}

\Rightarrow{x} = {80.9\%}

Therefore, {144} is {80.9\%} of {178}.

#### Solution for 178 is what percent of 144:

178:144*100 =

(178*100):144 =

17800:144 = 123.61

Now we have: 178 is what percent of 144 = 123.61

Question: 178 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\%}={178}.

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

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

{x\%}={178}(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}{178}

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

\frac{x\%}{100\%}=\frac{178}{144}

\Rightarrow{x} = {123.61\%}

Therefore, {178} is {123.61\%} of {144}.

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