451.22 is what percent of 991.45 - 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 991.45 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 991.45, so we can write it down as 100%=991.45.
4. We know, that x% equals 451.22 of the output value, so we can write it down as x%=451.22.
5. Now we have two simple equations:
1) 100%=991.45
2) x%=451.22
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%=991.45/451.22
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 451.22 is what percent of 991.45

100%/x%=991.45/451.22
(100/x)*x=(991.45/451.22)*x       - we multiply both sides of the equation by x
100=2.1972651921457*x       - we divide both sides of the equation by (2.1972651921457) to get x
100/2.1972651921457=x
45.511120076655=x
x=45.511120076655

now we have:
451.22 is 45.511120076655% of 991.45