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Solution for 1313 is what percent of 46:

1313:46*100 =

(1313*100):46 =

131300:46 = 2854.35

Now we have: 1313 is what percent of 46 = 2854.35

Question: 1313 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\%}={1313}.

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

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

{x\%}={1313}(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}{1313}

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

\frac{x\%}{100\%}=\frac{1313}{46}

\Rightarrow{x} = {2854.35\%}

Therefore, {1313} is {2854.35\%} of {46}.

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• 1313 is what percent of 46 = 2854.35
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Solution for 46 is what percent of 1313:

46:1313*100 =

(46*100):1313 =

4600:1313 = 3.5

Now we have: 46 is what percent of 1313 = 3.5

Question: 46 is what percent of 1313?

Percentage solution with steps:

Step 1: We make the assumption that 1313 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\%}={1313}.

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

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

{100\%}={1313}(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{1313}{46}

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

\frac{x\%}{100\%}=\frac{46}{1313}

\Rightarrow{x} = {3.5\%}

Therefore, {46} is {3.5\%} of {1313}.