399.99 is what percent of 1150 - 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 1150 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 1150, so we can write it down as 100%=1150.
4. We know, that x% equals 399.99 of the output value, so we can write it down as x%=399.99.
5. Now we have two simple equations:
1) 100%=1150
2) x%=399.99
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%=1150/399.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 399.99 is what percent of 1150

100%/x%=1150/399.99
(100/x)*x=(1150/399.99)*x       - we multiply both sides of the equation by x
100=2.8750718767969*x       - we divide both sides of the equation by (2.8750718767969) to get x
100/2.8750718767969=x
34.781739130435=x
x=34.781739130435

now we have:
399.99 is 34.781739130435% of 1150