#### Solution for 1150 is what percent of 4640:

1150:4640*100 =

(1150*100):4640 =

115000:4640 = 24.78

Now we have: 1150 is what percent of 4640 = 24.78

Question: 1150 is what percent of 4640?

Percentage solution with steps:

Step 1: We make the assumption that 4640 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\%}={4640}.

Step 4: In the same vein, {x\%}={1150}.

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

{100\%}={4640}(1).

{x\%}={1150}(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{4640}{1150}

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

\frac{x\%}{100\%}=\frac{1150}{4640}

\Rightarrow{x} = {24.78\%}

Therefore, {1150} is {24.78\%} of {4640}.

#### Solution for 4640 is what percent of 1150:

4640:1150*100 =

(4640*100):1150 =

464000:1150 = 403.48

Now we have: 4640 is what percent of 1150 = 403.48

Question: 4640 is what percent of 1150?

Percentage solution with steps:

Step 1: We make the assumption that 1150 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\%}={1150}.

Step 4: In the same vein, {x\%}={4640}.

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

{100\%}={1150}(1).

{x\%}={4640}(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{1150}{4640}

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

\frac{x\%}{100\%}=\frac{4640}{1150}

\Rightarrow{x} = {403.48\%}

Therefore, {4640} is {403.48\%} of {1150}.

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