31360.64 is what percent of 159868.15 - 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 159868.15 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 159868.15, so we can write it down as 100%=159868.15.
4. We know, that x% equals 31360.64 of the output value, so we can write it down as x%=31360.64.
5. Now we have two simple equations:
1) 100%=159868.15
2) x%=31360.64
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%=159868.15/31360.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 31360.64 is what percent of 159868.15

100%/x%=159868.15/31360.64
(100/x)*x=(159868.15/31360.64)*x       - we multiply both sides of the equation by x
100=5.0977323804616*x       - we divide both sides of the equation by (5.0977323804616) to get x
100/5.0977323804616=x
19.616565275823=x
x=19.616565275823

now we have:
31360.64 is 19.616565275823% of 159868.15