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Solution for 288 is what percent of 36:

288:36*100 =

(288*100):36 =

28800:36 = 800

Now we have: 288 is what percent of 36 = 800

Question: 288 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\%}={288}.

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

{100\%}={36}(1).

{x\%}={288}(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}{288}

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

\frac{x\%}{100\%}=\frac{288}{36}

\Rightarrow{x} = {800\%}

Therefore, {288} is {800\%} of {36}.

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Solution for 36 is what percent of 288:

36:288*100 =

(36*100):288 =

3600:288 = 12.5

Now we have: 36 is what percent of 288 = 12.5

Question: 36 is what percent of 288?

Percentage solution with steps:

Step 1: We make the assumption that 288 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\%}={288}.

Step 4: In the same vein, {x\%}={36}.

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

{100\%}={288}(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{288}{36}

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

\frac{x\%}{100\%}=\frac{36}{288}

\Rightarrow{x} = {12.5\%}

Therefore, {36} is {12.5\%} of {288}.