294.3 is what percent of 897.1 - 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 897.1 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 897.1, so we can write it down as 100%=897.1.
4. We know, that x% equals 294.3 of the output value, so we can write it down as x%=294.3.
5. Now we have two simple equations:
1) 100%=897.1
2) x%=294.3
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%=897.1/294.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 294.3 is what percent of 897.1

100%/x%=897.1/294.3
(100/x)*x=(897.1/294.3)*x       - we multiply both sides of the equation by x
100=3.04825008495*x       - we divide both sides of the equation by (3.04825008495) to get x
100/3.04825008495=x
32.805707279=x
x=32.805707279

now we have:
294.3 is 32.805707279% of 897.1