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Solution for 310 is what percent of 360:

310:360*100 =

(310*100):360 =

31000:360 = 86.11

Now we have: 310 is what percent of 360 = 86.11

Question: 310 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\%}={310}.

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

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

{x\%}={310}(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}{310}

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

\frac{x\%}{100\%}=\frac{310}{360}

\Rightarrow{x} = {86.11\%}

Therefore, {310} is {86.11\%} of {360}.

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Solution for 360 is what percent of 310:

360:310*100 =

(360*100):310 =

36000:310 = 116.13

Now we have: 360 is what percent of 310 = 116.13

Question: 360 is what percent of 310?

Percentage solution with steps:

Step 1: We make the assumption that 310 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\%}={310}.

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

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

{100\%}={310}(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{310}{360}

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

\frac{x\%}{100\%}=\frac{360}{310}

\Rightarrow{x} = {116.13\%}

Therefore, {360} is {116.13\%} of {310}.