104.55 is what percent of 2987.05 - 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 2987.05 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 2987.05, so we can write it down as 100%=2987.05.
4. We know, that x% equals 104.55 of the output value, so we can write it down as x%=104.55.
5. Now we have two simple equations:
1) 100%=2987.05
2) x%=104.55
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%=2987.05/104.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 104.55 is what percent of 2987.05

100%/x%=2987.05/104.55
(100/x)*x=(2987.05/104.55)*x       - we multiply both sides of the equation by x
100=28.570540411286*x       - we divide both sides of the equation by (28.570540411286) to get x
100/28.570540411286=x
3.5001088029996=x
x=3.5001088029996

now we have:
104.55 is 3.5001088029996% of 2987.05