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Solution for 355 is what percent of 360:

355:360*100 =

(355*100):360 =

35500:360 = 98.61

Now we have: 355 is what percent of 360 = 98.61

Question: 355 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\%}={355}.

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

{100\%}={360}(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{360}{355}

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

\frac{x\%}{100\%}=\frac{355}{360}

\Rightarrow{x} = {98.61\%}

Therefore, {355} is {98.61\%} of {360}.

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Solution for 360 is what percent of 355:

360:355*100 =

(360*100):355 =

36000:355 = 101.41

Now we have: 360 is what percent of 355 = 101.41

Question: 360 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\%}={360}.

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

{100\%}={355}(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{355}{360}

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

\frac{x\%}{100\%}=\frac{360}{355}

\Rightarrow{x} = {101.41\%}

Therefore, {360} is {101.41\%} of {355}.