294.6 is what percent of 2.844 - 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 2.844 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 2.844, so we can write it down as 100%=2.844.
4. We know, that x% equals 294.6 of the output value, so we can write it down as x%=294.6.
5. Now we have two simple equations:
1) 100%=2.844
2) x%=294.6
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%=2.844/294.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 294.6 is what percent of 2.844

100%/x%=2.844/294.6
(100/x)*x=(2.844/294.6)*x       - we multiply both sides of the equation by x
100=0.0096537678207739*x       - we divide both sides of the equation by (0.0096537678207739) to get x
100/0.0096537678207739=x
10358.64978903=x
x=10358.64978903

now we have:
294.6 is 10358.64978903% of 2.844