#### Solution for 315 is what percent of 520:

315:520*100 =

( 315*100):520 =

31500:520 = 60.58

Now we have: 315 is what percent of 520 = 60.58

Question: 315 is what percent of 520?

Percentage solution with steps:

Step 1: We make the assumption that 520 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\%}={520}.

Step 4: In the same vein, {x\%}={ 315}.

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

{100\%}={520}(1).

{x\%}={ 315}(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{520}{ 315}

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

\frac{x\%}{100\%}=\frac{ 315}{520}

\Rightarrow{x} = {60.58\%}

Therefore, { 315} is {60.58\%} of {520}.

#### Solution for 520 is what percent of 315:

520: 315*100 =

(520*100): 315 =

52000: 315 = 165.08

Now we have: 520 is what percent of 315 = 165.08

Question: 520 is what percent of 315?

Percentage solution with steps:

Step 1: We make the assumption that 315 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\%}={ 315}.

Step 4: In the same vein, {x\%}={520}.

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

{100\%}={ 315}(1).

{x\%}={520}(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{ 315}{520}

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

\frac{x\%}{100\%}=\frac{520}{ 315}

\Rightarrow{x} = {165.08\%}

Therefore, {520} is {165.08\%} of { 315}.

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