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Solution for 36 is what percent of 144:

36:144*100 =

(36*100):144 =

3600:144 = 25

Now we have: 36 is what percent of 144 = 25

Question: 36 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\%}={36}.

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

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

{x\%}={36}(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}{36}

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

\frac{x\%}{100\%}=\frac{36}{144}

\Rightarrow{x} = {25\%}

Therefore, {36} is {25\%} of {144}.

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Solution for 144 is what percent of 36:

144:36*100 =

(144*100):36 =

14400:36 = 400

Now we have: 144 is what percent of 36 = 400

Question: 144 is what percent of 36?

Percentage solution with steps:

Step 1: We make the assumption that 36 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\%}={36}.

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

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

{100\%}={36}(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{36}{144}

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

\frac{x\%}{100\%}=\frac{144}{36}

\Rightarrow{x} = {400\%}

Therefore, {144} is {400\%} of {36}.