301.1 is what percent of 350 - 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 350 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 350, so we can write it down as 100%=350.
4. We know, that x% equals 301.1 of the output value, so we can write it down as x%=301.1.
5. Now we have two simple equations:
1) 100%=350
2) x%=301.1
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%=350/301.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 301.1 is what percent of 350

100%/x%=350/301.1
(100/x)*x=(350/301.1)*x       - we multiply both sides of the equation by x
100=1.1624045167718*x       - we divide both sides of the equation by (1.1624045167718) to get x
100/1.1624045167718=x
86.028571428571=x
x=86.028571428571

now we have:
301.1 is 86.028571428571% of 350