310.3 is what percent of 360.3 - 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 360.3 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 360.3, so we can write it down as 100%=360.3.
4. We know, that x% equals 310.3 of the output value, so we can write it down as x%=310.3.
5. Now we have two simple equations:
1) 100%=360.3
2) x%=310.3
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%=360.3/310.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 310.3 is what percent of 360.3

100%/x%=360.3/310.3
(100/x)*x=(360.3/310.3)*x       - we multiply both sides of the equation by x
100=1.161134386078*x       - we divide both sides of the equation by (1.161134386078) to get x
100/1.161134386078=x
86.122675548154=x
x=86.122675548154

now we have:
310.3 is 86.122675548154% of 360.3