10 is what percent of 416000 - 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 416000 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 416000, so we can write it down as 100%=416000.
4. We know, that x% equals 10 of the output value, so we can write it down as x%=10.
5. Now we have two simple equations:
1) 100%=416000
2) x%=10
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%=416000/10
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10 is what percent of 416000

100%/x%=416000/10
(100/x)*x=(416000/10)*x       - we multiply both sides of the equation by x
100=41600*x       - we divide both sides of the equation by (41600) to get x
100/41600=x
0.0024038461538462=x
x=0.0024038461538462

now we have:
10 is 0.0024038461538462% of 416000