161.99 is what percent of 179.99 - 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 179.99 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 179.99, so we can write it down as 100%=179.99.
4. We know, that x% equals 161.99 of the output value, so we can write it down as x%=161.99.
5. Now we have two simple equations:
1) 100%=179.99
2) x%=161.99
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%=179.99/161.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 161.99 is what percent of 179.99

100%/x%=179.99/161.99
(100/x)*x=(179.99/161.99)*x       - we multiply both sides of the equation by x
100=1.1111179702451*x       - we divide both sides of the equation by (1.1111179702451) to get x
100/1.1111179702451=x
89.999444413579=x
x=89.999444413579

now we have:
161.99 is 89.999444413579% of 179.99