402.28 is what percent of 3800 - 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 3800 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 3800, so we can write it down as 100%=3800.
4. We know, that x% equals 402.28 of the output value, so we can write it down as x%=402.28.
5. Now we have two simple equations:
1) 100%=3800
2) x%=402.28
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%=3800/402.28
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 402.28 is what percent of 3800

100%/x%=3800/402.28
(100/x)*x=(3800/402.28)*x       - we multiply both sides of the equation by x
100=9.4461569056379*x       - we divide both sides of the equation by (9.4461569056379) to get x
100/9.4461569056379=x
10.586315789474=x
x=10.586315789474

now we have:
402.28 is 10.586315789474% of 3800