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Solution for 292 is what percent of 355:

292:355*100 =

(292*100):355 =

29200:355 = 82.25

Now we have: 292 is what percent of 355 = 82.25

Question: 292 is what percent of 355?

Percentage solution with steps:

Step 1: We make the assumption that 355 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\%}={355}.

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

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

{100\%}={355}(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{355}{292}

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

\frac{x\%}{100\%}=\frac{292}{355}

\Rightarrow{x} = {82.25\%}

Therefore, {292} is {82.25\%} of {355}.

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Solution for 355 is what percent of 292:

355:292*100 =

(355*100):292 =

35500:292 = 121.58

Now we have: 355 is what percent of 292 = 121.58

Question: 355 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\%}={355}.

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

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

{x\%}={355}(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}{355}

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

\frac{x\%}{100\%}=\frac{355}{292}

\Rightarrow{x} = {121.58\%}

Therefore, {355} is {121.58\%} of {292}.