155.85 is what percent of 455.85 - 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 455.85 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 455.85, so we can write it down as 100%=455.85.
4. We know, that x% equals 155.85 of the output value, so we can write it down as x%=155.85.
5. Now we have two simple equations:
1) 100%=455.85
2) x%=155.85
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%=455.85/155.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 155.85 is what percent of 455.85

100%/x%=455.85/155.85
(100/x)*x=(455.85/155.85)*x       - we multiply both sides of the equation by x
100=2.9249278152069*x       - we divide both sides of the equation by (2.9249278152069) to get x
100/2.9249278152069=x
34.188877920369=x
x=34.188877920369

now we have:
155.85 is 34.188877920369% of 455.85