119.8 is what percent of 159.6 - 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 159.6 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 159.6, so we can write it down as 100%=159.6.
4. We know, that x% equals 119.8 of the output value, so we can write it down as x%=119.8.
5. Now we have two simple equations:
1) 100%=159.6
2) x%=119.8
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%=159.6/119.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 119.8 is what percent of 159.6

100%/x%=159.6/119.8
(100/x)*x=(159.6/119.8)*x       - we multiply both sides of the equation by x
100=1.3322203672788*x       - we divide both sides of the equation by (1.3322203672788) to get x
100/1.3322203672788=x
75.062656641604=x
x=75.062656641604

now we have:
119.8 is 75.062656641604% of 159.6