42894.21 is what percent of 112.1 - 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 112.1 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 112.1, so we can write it down as 100%=112.1.
4. We know, that x% equals 42894.21 of the output value, so we can write it down as x%=42894.21.
5. Now we have two simple equations:
1) 100%=112.1
2) x%=42894.21
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%=112.1/42894.21
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42894.21 is what percent of 112.1

100%/x%=112.1/42894.21
(100/x)*x=(112.1/42894.21)*x       - we multiply both sides of the equation by x
100=0.0026134063315305*x       - we divide both sides of the equation by (0.0026134063315305) to get x
100/0.0026134063315305=x
38264.237288136=x
x=38264.237288136

now we have:
42894.21 is 38264.237288136% of 112.1