867.5 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 867.5 of the output value, so we can write it down as x%=867.5.
5. Now we have two simple equations:
1) 100%=1000
2) x%=867.5
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%=1000/867.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 867.5 is what percent of 1000

100%/x%=1000/867.5
(100/x)*x=(1000/867.5)*x       - we multiply both sides of the equation by x
100=1.1527377521614*x       - we divide both sides of the equation by (1.1527377521614) to get x
100/1.1527377521614=x
86.75=x
x=86.75

now we have:
867.5 is 86.75% of 1000