428.55 is what percent of 995 - 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 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, so we can write it down as 100%=995.
4. We know, that x% equals 428.55 of the output value, so we can write it down as x%=428.55.
5. Now we have two simple equations:
1) 100%=995
2) x%=428.55
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%=995/428.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 428.55 is what percent of 995

100%/x%=995/428.55
(100/x)*x=(995/428.55)*x       - we multiply both sides of the equation by x
100=2.3217827558045*x       - we divide both sides of the equation by (2.3217827558045) to get x
100/2.3217827558045=x
43.070351758794=x
x=43.070351758794

now we have:
428.55 is 43.070351758794% of 995