10.75 is what percent of 1287 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 1287 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 1287, so we can write it down as 100%=1287.
4. We know, that x% equals 10.75 of the output value, so we can write it down as x%=10.75.
5. Now we have two simple equations:
1) 100%=1287
2) x%=10.75
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%=1287/10.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.75 is what percent of 1287

100%/x%=1287/10.75
(100/x)*x=(1287/10.75)*x       - we multiply both sides of the equation by x
100=119.72093023256*x       - we divide both sides of the equation by (119.72093023256) to get x
100/119.72093023256=x
0.83527583527584=x
x=0.83527583527584

now we have:
10.75 is 0.83527583527584% of 1287