868.34 is what percent of 2894.45 - 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 2894.45 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 2894.45, so we can write it down as 100%=2894.45.
4. We know, that x% equals 868.34 of the output value, so we can write it down as x%=868.34.
5. Now we have two simple equations:
1) 100%=2894.45
2) x%=868.34
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%=2894.45/868.34
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 868.34 is what percent of 2894.45

100%/x%=2894.45/868.34
(100/x)*x=(2894.45/868.34)*x       - we multiply both sides of the equation by x
100=3.3333141396227*x       - we divide both sides of the equation by (3.3333141396227) to get x
100/3.3333141396227=x
30.00017274439=x
x=30.00017274439

now we have:
868.34 is 30.00017274439% of 2894.45