#### Solution for 415 is what percent of 4500:

415:4500*100 =

(415*100):4500 =

41500:4500 = 9.22

Now we have: 415 is what percent of 4500 = 9.22

Question: 415 is what percent of 4500?

Percentage solution with steps:

Step 1: We make the assumption that 4500 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\%}={4500}.

Step 4: In the same vein, {x\%}={415}.

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

{100\%}={4500}(1).

{x\%}={415}(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{4500}{415}

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

\frac{x\%}{100\%}=\frac{415}{4500}

\Rightarrow{x} = {9.22\%}

Therefore, {415} is {9.22\%} of {4500}.

#### Solution for 4500 is what percent of 415:

4500:415*100 =

(4500*100):415 =

450000:415 = 1084.34

Now we have: 4500 is what percent of 415 = 1084.34

Question: 4500 is what percent of 415?

Percentage solution with steps:

Step 1: We make the assumption that 415 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\%}={415}.

Step 4: In the same vein, {x\%}={4500}.

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

{100\%}={415}(1).

{x\%}={4500}(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{415}{4500}

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

\frac{x\%}{100\%}=\frac{4500}{415}

\Rightarrow{x} = {1084.34\%}

Therefore, {4500} is {1084.34\%} of {415}.

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