Question

What is 1156 out of 1200 as a percentage?

Answer 1

Answer:

1. We assume, that the number 1200 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 1200, so we can write it down as 100%=1200.

4. We know, that x% equals 1156 of the output value, so we can write it down as x%=1156.

5. Now we have two simple equations:

1) 100%=1200

2) x%=1156

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=1200/1156

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1156 is what percent of 1200

100%/x%=1200/1156

(100/x)*x=(1200/1156)*x - we multiply both sides of the equation by x

100=1.03806228374*x - we divide both sides of the equation by (1.03806228374) to get x

100/1.03806228374=x

96.3333333333=x

x=96.3333333333

now we have:

1156 is 96.3333333333% of 1200

Answer 2

The Answer is 96.333333333333333333333333%

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