10 is what percent of 44942 - 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 44942 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 44942, so we can write it down as 100%=44942.
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%=44942
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%=44942/10
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 44942

100%/x%=44942/10
(100/x)*x=(44942/10)*x       - we multiply both sides of the equation by x
100=4494.2*x       - we divide both sides of the equation by (4494.2) to get x
100/4494.2=x
0.022250901161497=x
x=0.022250901161497

now we have:
10 is 0.022250901161497% of 44942