139.95 is what percent of 199.95 - 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 199.95 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 199.95, so we can write it down as 100%=199.95.
4. We know, that x% equals 139.95 of the output value, so we can write it down as x%=139.95.
5. Now we have two simple equations:
1) 100%=199.95
2) x%=139.95
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%=199.95/139.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 139.95 is what percent of 199.95

100%/x%=199.95/139.95
(100/x)*x=(199.95/139.95)*x       - we multiply both sides of the equation by x
100=1.4287245444802*x       - we divide both sides of the equation by (1.4287245444802) to get x
100/1.4287245444802=x
69.992498124531=x
x=69.992498124531

now we have:
139.95 is 69.992498124531% of 199.95