263.65 is what percent of 3142.05 - 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 3142.05 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 3142.05, so we can write it down as 100%=3142.05.
4. We know, that x% equals 263.65 of the output value, so we can write it down as x%=263.65.
5. Now we have two simple equations:
1) 100%=3142.05
2) x%=263.65
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%=3142.05/263.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 263.65 is what percent of 3142.05

100%/x%=3142.05/263.65
(100/x)*x=(3142.05/263.65)*x       - we multiply both sides of the equation by x
100=11.917504267021*x       - we divide both sides of the equation by (11.917504267021) to get x
100/11.917504267021=x
8.3910186025047=x
x=8.3910186025047

now we have:
263.65 is 8.3910186025047% of 3142.05