29085.12 is what percent of 120078.84 - 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 120078.84 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 120078.84, so we can write it down as 100%=120078.84.
4. We know, that x% equals 29085.12 of the output value, so we can write it down as x%=29085.12.
5. Now we have two simple equations:
1) 100%=120078.84
2) x%=29085.12
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%=120078.84/29085.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 29085.12 is what percent of 120078.84

100%/x%=120078.84/29085.12
(100/x)*x=(120078.84/29085.12)*x       - we multiply both sides of the equation by x
100=4.1285317028089*x       - we divide both sides of the equation by (4.1285317028089) to get x
100/4.1285317028089=x
24.221686352067=x
x=24.221686352067

now we have:
29085.12 is 24.221686352067% of 120078.84