852.16 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 852.16 of the output value, so we can write it down as x%=852.16.
5. Now we have two simple equations:
1) 100%=1000
2) x%=852.16
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%=1000/852.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 852.16 is what percent of 1000

100%/x%=1000/852.16
(100/x)*x=(1000/852.16)*x       - we multiply both sides of the equation by x
100=1.1734885467518*x       - we divide both sides of the equation by (1.1734885467518) to get x
100/1.1734885467518=x
85.216=x
x=85.216

now we have:
852.16 is 85.216% of 1000