859.17 is what percent of 300 - 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 300 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 300, so we can write it down as 100%=300.
4. We know, that x% equals 859.17 of the output value, so we can write it down as x%=859.17.
5. Now we have two simple equations:
1) 100%=300
2) x%=859.17
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%=300/859.17
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 859.17 is what percent of 300

100%/x%=300/859.17
(100/x)*x=(300/859.17)*x       - we multiply both sides of the equation by x
100=0.34917420300988*x       - we divide both sides of the equation by (0.34917420300988) to get x
100/0.34917420300988=x
286.39=x
x=286.39

now we have:
859.17 is 286.39% of 300