#### Solution for 313 is what percent of 376:

313:376*100 =

(313*100):376 =

31300:376 = 83.24

Now we have: 313 is what percent of 376 = 83.24

Question: 313 is what percent of 376?

Percentage solution with steps:

Step 1: We make the assumption that 376 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\%}={376}.

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

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

{100\%}={376}(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{376}{313}

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

\frac{x\%}{100\%}=\frac{313}{376}

\Rightarrow{x} = {83.24\%}

Therefore, {313} is {83.24\%} of {376}.

#### Solution for 376 is what percent of 313:

376:313*100 =

(376*100):313 =

37600:313 = 120.13

Now we have: 376 is what percent of 313 = 120.13

Question: 376 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\%}={376}.

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

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

{x\%}={376}(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}{376}

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

\frac{x\%}{100\%}=\frac{376}{313}

\Rightarrow{x} = {120.13\%}

Therefore, {376} is {120.13\%} of {313}.

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