886.44 is what percent of 1000 - 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 1000 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 1000, so we can write it down as 100%=1000.
4. We know, that x% equals 886.44 of the output value, so we can write it down as x%=886.44.
5. Now we have two simple equations:
1) 100%=1000
2) x%=886.44
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%=1000/886.44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 886.44 is what percent of 1000

100%/x%=1000/886.44
(100/x)*x=(1000/886.44)*x       - we multiply both sides of the equation by x
100=1.1281079373674*x       - we divide both sides of the equation by (1.1281079373674) to get x
100/1.1281079373674=x
88.644=x
x=88.644

now we have:
886.44 is 88.644% of 1000