101.15 is what percent of 220.85 - 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 220.85 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 220.85, so we can write it down as 100%=220.85.
4. We know, that x% equals 101.15 of the output value, so we can write it down as x%=101.15.
5. Now we have two simple equations:
1) 100%=220.85
2) x%=101.15
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%=220.85/101.15
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 101.15 is what percent of 220.85

100%/x%=220.85/101.15
(100/x)*x=(220.85/101.15)*x       - we multiply both sides of the equation by x
100=2.1833910034602*x       - we divide both sides of the equation by (2.1833910034602) to get x
100/2.1833910034602=x
45.800316957211=x
x=45.800316957211

now we have:
101.15 is 45.800316957211% of 220.85