#### Solution for 399 is what percent of 465:

399:465*100 =

(399*100):465 =

39900:465 = 85.81

Now we have: 399 is what percent of 465 = 85.81

Question: 399 is what percent of 465?

Percentage solution with steps:

Step 1: We make the assumption that 465 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\%}={465}.

Step 4: In the same vein, {x\%}={399}.

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

{100\%}={465}(1).

{x\%}={399}(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{465}{399}

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

\frac{x\%}{100\%}=\frac{399}{465}

\Rightarrow{x} = {85.81\%}

Therefore, {399} is {85.81\%} of {465}.

#### Solution for 465 is what percent of 399:

465:399*100 =

(465*100):399 =

46500:399 = 116.54

Now we have: 465 is what percent of 399 = 116.54

Question: 465 is what percent of 399?

Percentage solution with steps:

Step 1: We make the assumption that 399 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\%}={399}.

Step 4: In the same vein, {x\%}={465}.

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

{100\%}={399}(1).

{x\%}={465}(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{399}{465}

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

\frac{x\%}{100\%}=\frac{465}{399}

\Rightarrow{x} = {116.54\%}

Therefore, {465} is {116.54\%} of {399}.

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