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Solution for 46 is what percent of 288:

46:288*100 =

(46*100):288 =

4600:288 = 15.97

Now we have: 46 is what percent of 288 = 15.97

Question: 46 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\%}={46}.

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

{100\%}={288}(1).

{x\%}={46}(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}{46}

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

\frac{x\%}{100\%}=\frac{46}{288}

\Rightarrow{x} = {15.97\%}

Therefore, {46} is {15.97\%} of {288}.

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Solution for 288 is what percent of 46:

288:46*100 =

(288*100):46 =

28800:46 = 626.09

Now we have: 288 is what percent of 46 = 626.09

Question: 288 is what percent of 46?

Percentage solution with steps:

Step 1: We make the assumption that 46 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\%}={46}.

Step 4: In the same vein, {x\%}={288}.

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

{100\%}={46}(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{46}{288}

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

\frac{x\%}{100\%}=\frac{288}{46}

\Rightarrow{x} = {626.09\%}

Therefore, {288} is {626.09\%} of {46}.