#### Solution for 230 is what percent of 1160:

230:1160*100 =

(230*100):1160 =

23000:1160 = 19.83

Now we have: 230 is what percent of 1160 = 19.83

Question: 230 is what percent of 1160?

Percentage solution with steps:

Step 1: We make the assumption that 1160 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\%}={1160}.

Step 4: In the same vein, {x\%}={230}.

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

{100\%}={1160}(1).

{x\%}={230}(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{1160}{230}

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

\frac{x\%}{100\%}=\frac{230}{1160}

\Rightarrow{x} = {19.83\%}

Therefore, {230} is {19.83\%} of {1160}.

#### Solution for 1160 is what percent of 230:

1160:230*100 =

(1160*100):230 =

116000:230 = 504.35

Now we have: 1160 is what percent of 230 = 504.35

Question: 1160 is what percent of 230?

Percentage solution with steps:

Step 1: We make the assumption that 230 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\%}={230}.

Step 4: In the same vein, {x\%}={1160}.

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

{100\%}={230}(1).

{x\%}={1160}(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{230}{1160}

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

\frac{x\%}{100\%}=\frac{1160}{230}

\Rightarrow{x} = {504.35\%}

Therefore, {1160} is {504.35\%} of {230}.

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