#### Solution for 315 is what percent of 165:

315:165*100 =

(315*100):165 =

31500:165 = 190.91

Now we have: 315 is what percent of 165 = 190.91

Question: 315 is what percent of 165?

Percentage solution with steps:

Step 1: We make the assumption that 165 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\%}={165}.

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

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

{100\%}={165}(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{165}{315}

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

\frac{x\%}{100\%}=\frac{315}{165}

\Rightarrow{x} = {190.91\%}

Therefore, {315} is {190.91\%} of {165}.

#### Solution for 165 is what percent of 315:

165:315*100 =

(165*100):315 =

16500:315 = 52.38

Now we have: 165 is what percent of 315 = 52.38

Question: 165 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\%}={165}.

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

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

{x\%}={165}(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}{165}

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

\frac{x\%}{100\%}=\frac{165}{315}

\Rightarrow{x} = {52.38\%}

Therefore, {165} is {52.38\%} of {315}.

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