382.24 is what percent of 1090 - 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 1090 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 1090, so we can write it down as 100%=1090.
4. We know, that x% equals 382.24 of the output value, so we can write it down as x%=382.24.
5. Now we have two simple equations:
1) 100%=1090
2) x%=382.24
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%=1090/382.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 382.24 is what percent of 1090

100%/x%=1090/382.24
(100/x)*x=(1090/382.24)*x       - we multiply both sides of the equation by x
100=2.851611552951*x       - we divide both sides of the equation by (2.851611552951) to get x
100/2.851611552951=x
35.067889908257=x
x=35.067889908257

now we have:
382.24 is 35.067889908257% of 1090