#### Solution for 144 is what percent of 520:

144:520*100 =

(144*100):520 =

14400:520 = 27.69

Now we have: 144 is what percent of 520 = 27.69

Question: 144 is what percent of 520?

Percentage solution with steps:

Step 1: We make the assumption that 520 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\%}={520}.

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

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

{100\%}={520}(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{520}{144}

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

\frac{x\%}{100\%}=\frac{144}{520}

\Rightarrow{x} = {27.69\%}

Therefore, {144} is {27.69\%} of {520}.

#### Solution for 520 is what percent of 144:

520:144*100 =

(520*100):144 =

52000:144 = 361.11

Now we have: 520 is what percent of 144 = 361.11

Question: 520 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\%}={520}.

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

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

{x\%}={520}(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}{520}

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

\frac{x\%}{100\%}=\frac{520}{144}

\Rightarrow{x} = {361.11\%}

Therefore, {520} is {361.11\%} of {144}.

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