#### Solution for 482 is what percent of 785:

482:785*100 =

(482*100):785 =

48200:785 = 61.4

Now we have: 482 is what percent of 785 = 61.4

Question: 482 is what percent of 785?

Percentage solution with steps:

Step 1: We make the assumption that 785 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\%}={785}.

Step 4: In the same vein, {x\%}={482}.

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

{100\%}={785}(1).

{x\%}={482}(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{785}{482}

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

\frac{x\%}{100\%}=\frac{482}{785}

\Rightarrow{x} = {61.4\%}

Therefore, {482} is {61.4\%} of {785}.

#### Solution for 785 is what percent of 482:

785:482*100 =

(785*100):482 =

78500:482 = 162.86

Now we have: 785 is what percent of 482 = 162.86

Question: 785 is what percent of 482?

Percentage solution with steps:

Step 1: We make the assumption that 482 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\%}={482}.

Step 4: In the same vein, {x\%}={785}.

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

{100\%}={482}(1).

{x\%}={785}(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{482}{785}

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

\frac{x\%}{100\%}=\frac{785}{482}

\Rightarrow{x} = {162.86\%}

Therefore, {785} is {162.86\%} of {482}.

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