10.9 is what percent of 25615 - 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 25615 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 25615, so we can write it down as 100%=25615.
4. We know, that x% equals 10.9 of the output value, so we can write it down as x%=10.9.
5. Now we have two simple equations:
1) 100%=25615
2) x%=10.9
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%=25615/10.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.9 is what percent of 25615

100%/x%=25615/10.9
(100/x)*x=(25615/10.9)*x       - we multiply both sides of the equation by x
100=2350*x       - we divide both sides of the equation by (2350) to get x
100/2350=x
0.042553191489362=x
x=0.042553191489362

now we have:
10.9 is 0.042553191489362% of 25615