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Solution for 310 is what percent of 460:

310:460*100 =

(310*100):460 =

31000:460 = 67.39

Now we have: 310 is what percent of 460 = 67.39

Question: 310 is what percent of 460?

Percentage solution with steps:

Step 1: We make the assumption that 460 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\%}={460}.

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

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

{100\%}={460}(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{460}{310}

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

\frac{x\%}{100\%}=\frac{310}{460}

\Rightarrow{x} = {67.39\%}

Therefore, {310} is {67.39\%} of {460}.

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Solution for 460 is what percent of 310:

460:310*100 =

(460*100):310 =

46000:310 = 148.39

Now we have: 460 is what percent of 310 = 148.39

Question: 460 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\%}={460}.

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

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

{x\%}={460}(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}{460}

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

\frac{x\%}{100\%}=\frac{460}{310}

\Rightarrow{x} = {148.39\%}

Therefore, {460} is {148.39\%} of {310}.