#### Solution for 410 is what percent of 480:

410: 480*100 =

(410*100): 480 =

41000: 480 = 85.42

Now we have: 410 is what percent of 480 = 85.42

Question: 410 is what percent of 480?

Percentage solution with steps:

Step 1: We make the assumption that 480 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\%}={ 480}.

Step 4: In the same vein, {x\%}={410}.

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

{100\%}={ 480}(1).

{x\%}={410}(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{ 480}{410}

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

\frac{x\%}{100\%}=\frac{410}{ 480}

\Rightarrow{x} = {85.42\%}

Therefore, {410} is {85.42\%} of { 480}.

#### Solution for 480 is what percent of 410:

480:410*100 =

( 480*100):410 =

48000:410 = 117.07

Now we have: 480 is what percent of 410 = 117.07

Question: 480 is what percent of 410?

Percentage solution with steps:

Step 1: We make the assumption that 410 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\%}={410}.

Step 4: In the same vein, {x\%}={ 480}.

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

{100\%}={410}(1).

{x\%}={ 480}(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{410}{ 480}

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

\frac{x\%}{100\%}=\frac{ 480}{410}

\Rightarrow{x} = {117.07\%}

Therefore, { 480} is {117.07\%} of {410}.

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