95.9 is what percent of 159.98 - 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 159.98 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 159.98, so we can write it down as 100%=159.98.
4. We know, that x% equals 95.9 of the output value, so we can write it down as x%=95.9.
5. Now we have two simple equations:
1) 100%=159.98
2) x%=95.9
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%=159.98/95.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 95.9 is what percent of 159.98

100%/x%=159.98/95.9
(100/x)*x=(159.98/95.9)*x       - we multiply both sides of the equation by x
100=1.6681960375391*x       - we divide both sides of the equation by (1.6681960375391) to get x
100/1.6681960375391=x
59.944993124141=x
x=59.944993124141

now we have:
95.9 is 59.944993124141% of 159.98