#### Solution for 165 is what percent of 310:

165:310*100 =

(165*100):310 =

16500:310 = 53.23

Now we have: 165 is what percent of 310 = 53.23

Question: 165 is what percent of 310?

Percentage solution with steps:

Step 1: We make the assumption that 310 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\%}={310}.

Step 4: In the same vein, {x\%}={165}.

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

{100\%}={310}(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{310}{165}

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

\frac{x\%}{100\%}=\frac{165}{310}

\Rightarrow{x} = {53.23\%}

Therefore, {165} is {53.23\%} of {310}.

#### Solution for 310 is what percent of 165:

310:165*100 =

(310*100):165 =

31000:165 = 187.88

Now we have: 310 is what percent of 165 = 187.88

Question: 310 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\%}={310}.

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

{100\%}={165}(1).

{x\%}={310}(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}{310}

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

\frac{x\%}{100\%}=\frac{310}{165}

\Rightarrow{x} = {187.88\%}

Therefore, {310} is {187.88\%} of {165}.

Calculation Samples