#### Solution for 310 is what percent of 532:

310:532*100 =

(310*100):532 =

31000:532 = 58.27

Now we have: 310 is what percent of 532 = 58.27

Question: 310 is what percent of 532?

Percentage solution with steps:

Step 1: We make the assumption that 532 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\%}={532}.

Step 4: In the same vein, {x\%}={310}.

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

{100\%}={532}(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{532}{310}

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

\frac{x\%}{100\%}=\frac{310}{532}

\Rightarrow{x} = {58.27\%}

Therefore, {310} is {58.27\%} of {532}.

#### Solution for 532 is what percent of 310:

532:310*100 =

(532*100):310 =

53200:310 = 171.61

Now we have: 532 is what percent of 310 = 171.61

Question: 532 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\%}={532}.

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

{100\%}={310}(1).

{x\%}={532}(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}{532}

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

\frac{x\%}{100\%}=\frac{532}{310}

\Rightarrow{x} = {171.61\%}

Therefore, {532} is {171.61\%} of {310}.

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