382.2 is what percent of 958.8 - 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 958.8 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 958.8, so we can write it down as 100%=958.8.
4. We know, that x% equals 382.2 of the output value, so we can write it down as x%=382.2.
5. Now we have two simple equations:
1) 100%=958.8
2) x%=382.2
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%=958.8/382.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 382.2 is what percent of 958.8

100%/x%=958.8/382.2
(100/x)*x=(958.8/382.2)*x       - we multiply both sides of the equation by x
100=2.5086342229199*x       - we divide both sides of the equation by (2.5086342229199) to get x
100/2.5086342229199=x
39.862327909887=x
x=39.862327909887

now we have:
382.2 is 39.862327909887% of 958.8