#### Solution for 292 is what percent of 360:

292:360*100 =

(292*100):360 =

29200:360 = 81.11

Now we have: 292 is what percent of 360 = 81.11

Question: 292 is what percent of 360?

Percentage solution with steps:

Step 1: We make the assumption that 360 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\%}={360}.

Step 4: In the same vein, {x\%}={292}.

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

{100\%}={360}(1).

{x\%}={292}(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{360}{292}

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

\frac{x\%}{100\%}=\frac{292}{360}

\Rightarrow{x} = {81.11\%}

Therefore, {292} is {81.11\%} of {360}.

#### Solution for 360 is what percent of 292:

360:292*100 =

(360*100):292 =

36000:292 = 123.29

Now we have: 360 is what percent of 292 = 123.29

Question: 360 is what percent of 292?

Percentage solution with steps:

Step 1: We make the assumption that 292 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\%}={292}.

Step 4: In the same vein, {x\%}={360}.

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

{100\%}={292}(1).

{x\%}={360}(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{292}{360}

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

\frac{x\%}{100\%}=\frac{360}{292}

\Rightarrow{x} = {123.29\%}

Therefore, {360} is {123.29\%} of {292}.

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