489.69 is what percent of 1175 - 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 1175 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 1175, so we can write it down as 100%=1175.
4. We know, that x% equals 489.69 of the output value, so we can write it down as x%=489.69.
5. Now we have two simple equations:
1) 100%=1175
2) x%=489.69
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%=1175/489.69
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 489.69 is what percent of 1175

100%/x%=1175/489.69
(100/x)*x=(1175/489.69)*x       - we multiply both sides of the equation by x
100=2.3994772202822*x       - we divide both sides of the equation by (2.3994772202822) to get x
100/2.3994772202822=x
41.675744680851=x
x=41.675744680851

now we have:
489.69 is 41.675744680851% of 1175