859.75 is what percent of 955 - 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 955 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 955, so we can write it down as 100%=955.
4. We know, that x% equals 859.75 of the output value, so we can write it down as x%=859.75.
5. Now we have two simple equations:
1) 100%=955
2) x%=859.75
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%=955/859.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 859.75 is what percent of 955

100%/x%=955/859.75
(100/x)*x=(955/859.75)*x       - we multiply both sides of the equation by x
100=1.1107880197732*x       - we divide both sides of the equation by (1.1107880197732) to get x
100/1.1107880197732=x
90.026178010471=x
x=90.026178010471

now we have:
859.75 is 90.026178010471% of 955