111.99 is what percent of 159.99 - 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 159.99 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 159.99, so we can write it down as 100%=159.99.
4. We know, that x% equals 111.99 of the output value, so we can write it down as x%=111.99.
5. Now we have two simple equations:
1) 100%=159.99
2) x%=111.99
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%=159.99/111.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 111.99 is what percent of 159.99

100%/x%=159.99/111.99
(100/x)*x=(159.99/111.99)*x       - we multiply both sides of the equation by x
100=1.4286096972944*x       - we divide both sides of the equation by (1.4286096972944) to get x
100/1.4286096972944=x
69.998124882805=x
x=69.998124882805

now we have:
111.99 is 69.998124882805% of 159.99