140.75 is what percent of 379.99 - 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 379.99 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 379.99, so we can write it down as 100%=379.99.
4. We know, that x% equals 140.75 of the output value, so we can write it down as x%=140.75.
5. Now we have two simple equations:
1) 100%=379.99
2) x%=140.75
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%=379.99/140.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 140.75 is what percent of 379.99

100%/x%=379.99/140.75
(100/x)*x=(379.99/140.75)*x       - we multiply both sides of the equation by x
100=2.6997513321492*x       - we divide both sides of the equation by (2.6997513321492) to get x
100/2.6997513321492=x
37.040448432853=x
x=37.040448432853

now we have:
140.75 is 37.040448432853% of 379.99