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Solution for 500 is what percent of 1150:

500:1150*100 =

(500*100):1150 =

50000:1150 = 43.48

Now we have: 500 is what percent of 1150 = 43.48

Question: 500 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\%}={500}.

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

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

{x\%}={500}(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}{500}

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

\frac{x\%}{100\%}=\frac{500}{1150}

\Rightarrow{x} = {43.48\%}

Therefore, {500} is {43.48\%} of {1150}.

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Solution for 1150 is what percent of 500:

1150:500*100 =

(1150*100):500 =

115000:500 = 230

Now we have: 1150 is what percent of 500 = 230

Question: 1150 is what percent of 500?

Percentage solution with steps:

Step 1: We make the assumption that 500 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\%}={500}.

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

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

{100\%}={500}(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{500}{1150}

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

\frac{x\%}{100\%}=\frac{1150}{500}

\Rightarrow{x} = {230\%}

Therefore, {1150} is {230\%} of {500}.