#### Solution for 224 is what percent of 1150:

224:1150*100 =

(224*100):1150 =

22400:1150 = 19.48

Now we have: 224 is what percent of 1150 = 19.48

Question: 224 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\%}={224}.

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

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

{x\%}={224}(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}{224}

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

\frac{x\%}{100\%}=\frac{224}{1150}

\Rightarrow{x} = {19.48\%}

Therefore, {224} is {19.48\%} of {1150}.

#### Solution for 1150 is what percent of 224:

1150:224*100 =

(1150*100):224 =

115000:224 = 513.39

Now we have: 1150 is what percent of 224 = 513.39

Question: 1150 is what percent of 224?

Percentage solution with steps:

Step 1: We make the assumption that 224 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\%}={224}.

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

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

{100\%}={224}(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{224}{1150}

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

\frac{x\%}{100\%}=\frac{1150}{224}

\Rightarrow{x} = {513.39\%}

Therefore, {1150} is {513.39\%} of {224}.

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