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Solution for 1163.5 is what percent of 1300:

1163.5:1300*100 =

(1163.5*100):1300 =

116350:1300 = 89.5

Now we have: 1163.5 is what percent of 1300 = 89.5

Question: 1163.5 is what percent of 1300?

Percentage solution with steps:

Step 1: We make the assumption that 1300 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\%}={1300}.

Step 4: In the same vein, {x\%}={1163.5}.

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

{100\%}={1300}(1).

{x\%}={1163.5}(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{1300}{1163.5}

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

\frac{x\%}{100\%}=\frac{1163.5}{1300}

\Rightarrow{x} = {89.5\%}

Therefore, {1163.5} is {89.5\%} of {1300}.

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Solution for 1300 is what percent of 1163.5:

1300:1163.5*100 =

(1300*100):1163.5 =

130000:1163.5 = 111.73184357542

Now we have: 1300 is what percent of 1163.5 = 111.73184357542

Question: 1300 is what percent of 1163.5?

Percentage solution with steps:

Step 1: We make the assumption that 1163.5 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\%}={1163.5}.

Step 4: In the same vein, {x\%}={1300}.

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

{100\%}={1163.5}(1).

{x\%}={1300}(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{1163.5}{1300}

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

\frac{x\%}{100\%}=\frac{1300}{1163.5}

\Rightarrow{x} = {111.73184357542\%}

Therefore, {1300} is {111.73184357542\%} of {1163.5}.