#### Solution for 390 is what percent of 465:

390:465*100 =

(390*100):465 =

39000:465 = 83.87

Now we have: 390 is what percent of 465 = 83.87

Question: 390 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\%}={390}.

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

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

{x\%}={390}(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}{390}

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

\frac{x\%}{100\%}=\frac{390}{465}

\Rightarrow{x} = {83.87\%}

Therefore, {390} is {83.87\%} of {465}.

#### Solution for 465 is what percent of 390:

465:390*100 =

(465*100):390 =

46500:390 = 119.23

Now we have: 465 is what percent of 390 = 119.23

Question: 465 is what percent of 390?

Percentage solution with steps:

Step 1: We make the assumption that 390 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\%}={390}.

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

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

{100\%}={390}(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{390}{465}

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

\frac{x\%}{100\%}=\frac{465}{390}

\Rightarrow{x} = {119.23\%}

Therefore, {465} is {119.23\%} of {390}.

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