99.99 is what percent of 179.88 - 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 179.88 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 179.88, so we can write it down as 100%=179.88.
4. We know, that x% equals 99.99 of the output value, so we can write it down as x%=99.99.
5. Now we have two simple equations:
1) 100%=179.88
2) x%=99.99
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%=179.88/99.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 99.99 is what percent of 179.88

100%/x%=179.88/99.99
(100/x)*x=(179.88/99.99)*x       - we multiply both sides of the equation by x
100=1.7989798979898*x       - we divide both sides of the equation by (1.7989798979898) to get x
100/1.7989798979898=x
55.587058038692=x
x=55.587058038692

now we have:
99.99 is 55.587058038692% of 179.88