397.42 is what percent of 995.42 - 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 995.42 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 995.42, so we can write it down as 100%=995.42.
4. We know, that x% equals 397.42 of the output value, so we can write it down as x%=397.42.
5. Now we have two simple equations:
1) 100%=995.42
2) x%=397.42
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%=995.42/397.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 397.42 is what percent of 995.42

100%/x%=995.42/397.42
(100/x)*x=(995.42/397.42)*x       - we multiply both sides of the equation by x
100=2.5047053495043*x       - we divide both sides of the equation by (2.5047053495043) to get x
100/2.5047053495043=x
39.924855839746=x
x=39.924855839746

now we have:
397.42 is 39.924855839746% of 995.42