#### Solution for 1000 is what percent of 1150:

1000:1150*100 =

(1000*100):1150 =

100000:1150 = 86.96

Now we have: 1000 is what percent of 1150 = 86.96

Question: 1000 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\%}={1000}.

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

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

{x\%}={1000}(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}{1000}

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

\frac{x\%}{100\%}=\frac{1000}{1150}

\Rightarrow{x} = {86.96\%}

Therefore, {1000} is {86.96\%} of {1150}.

#### Solution for 1150 is what percent of 1000:

1150:1000*100 =

(1150*100):1000 =

115000:1000 = 115

Now we have: 1150 is what percent of 1000 = 115

Question: 1150 is what percent of 1000?

Percentage solution with steps:

Step 1: We make the assumption that 1000 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\%}={1000}.

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

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

{100\%}={1000}(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{1000}{1150}

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

\frac{x\%}{100\%}=\frac{1150}{1000}

\Rightarrow{x} = {115\%}

Therefore, {1150} is {115\%} of {1000}.

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