105.98 is what percent of 139.98 - 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 139.98 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 139.98, so we can write it down as 100%=139.98.
4. We know, that x% equals 105.98 of the output value, so we can write it down as x%=105.98.
5. Now we have two simple equations:
1) 100%=139.98
2) x%=105.98
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%=139.98/105.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 105.98 is what percent of 139.98

100%/x%=139.98/105.98
(100/x)*x=(139.98/105.98)*x       - we multiply both sides of the equation by x
100=1.32081524816*x       - we divide both sides of the equation by (1.32081524816) to get x
100/1.32081524816=x
75.710815830833=x
x=75.710815830833

now we have:
105.98 is 75.710815830833% of 139.98