875.1 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 875.1 of the output value, so we can write it down as x%=875.1.
5. Now we have two simple equations:
1) 100%=955
2) x%=875.1
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%=955/875.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 875.1 is what percent of 955

100%/x%=955/875.1
(100/x)*x=(955/875.1)*x       - we multiply both sides of the equation by x
100=1.0913038509885*x       - we divide both sides of the equation by (1.0913038509885) to get x
100/1.0913038509885=x
91.633507853403=x
x=91.633507853403

now we have:
875.1 is 91.633507853403% of 955