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Solution for 313 is what percent of 46:

313:46*100 =

(313*100):46 =

31300:46 = 680.43

Now we have: 313 is what percent of 46 = 680.43

Question: 313 is what percent of 46?

Percentage solution with steps:

Step 1: We make the assumption that 46 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\%}={46}.

Step 4: In the same vein, {x\%}={313}.

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

{100\%}={46}(1).

{x\%}={313}(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{46}{313}

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

\frac{x\%}{100\%}=\frac{313}{46}

\Rightarrow{x} = {680.43\%}

Therefore, {313} is {680.43\%} of {46}.

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Solution for 46 is what percent of 313:

46:313*100 =

(46*100):313 =

4600:313 = 14.7

Now we have: 46 is what percent of 313 = 14.7

Question: 46 is what percent of 313?

Percentage solution with steps:

Step 1: We make the assumption that 313 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\%}={313}.

Step 4: In the same vein, {x\%}={46}.

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

{100\%}={313}(1).

{x\%}={46}(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{313}{46}

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

\frac{x\%}{100\%}=\frac{46}{313}

\Rightarrow{x} = {14.7\%}

Therefore, {46} is {14.7\%} of {313}.