1318.15 is what percent of 2842.3 - 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 2842.3 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 2842.3, so we can write it down as 100%=2842.3.
4. We know, that x% equals 1318.15 of the output value, so we can write it down as x%=1318.15.
5. Now we have two simple equations:
1) 100%=2842.3
2) x%=1318.15
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%=2842.3/1318.15
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1318.15 is what percent of 2842.3

100%/x%=2842.3/1318.15
(100/x)*x=(2842.3/1318.15)*x       - we multiply both sides of the equation by x
100=2.156279634336*x       - we divide both sides of the equation by (2.156279634336) to get x
100/2.156279634336=x
46.376174225099=x
x=46.376174225099

now we have:
1318.15 is 46.376174225099% of 2842.3