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Solution for 310 is what percent of 408:

310:408*100 =

(310*100):408 =

31000:408 = 75.98

Now we have: 310 is what percent of 408 = 75.98

Question: 310 is what percent of 408?

Percentage solution with steps:

Step 1: We make the assumption that 408 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\%}={408}.

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

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

{100\%}={408}(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{408}{310}

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

\frac{x\%}{100\%}=\frac{310}{408}

\Rightarrow{x} = {75.98\%}

Therefore, {310} is {75.98\%} of {408}.

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Solution for 408 is what percent of 310:

408:310*100 =

(408*100):310 =

40800:310 = 131.61

Now we have: 408 is what percent of 310 = 131.61

Question: 408 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\%}={408}.

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

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

{x\%}={408}(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}{408}

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

\frac{x\%}{100\%}=\frac{408}{310}

\Rightarrow{x} = {131.61\%}

Therefore, {408} is {131.61\%} of {310}.