#### Solution for 75 is what percent of 465:

75:465*100 =

(75*100):465 =

7500:465 = 16.13

Now we have: 75 is what percent of 465 = 16.13

Question: 75 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\%}={75}.

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

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

{x\%}={75}(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}{75}

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

\frac{x\%}{100\%}=\frac{75}{465}

\Rightarrow{x} = {16.13\%}

Therefore, {75} is {16.13\%} of {465}.

#### Solution for 465 is what percent of 75:

465:75*100 =

(465*100):75 =

46500:75 = 620

Now we have: 465 is what percent of 75 = 620

Question: 465 is what percent of 75?

Percentage solution with steps:

Step 1: We make the assumption that 75 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\%}={75}.

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

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

{100\%}={75}(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{75}{465}

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

\frac{x\%}{100\%}=\frac{465}{75}

\Rightarrow{x} = {620\%}

Therefore, {465} is {620\%} of {75}.

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