46.29 is what percent of 1178.33 - 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 1178.33 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 1178.33, so we can write it down as 100%=1178.33.
4. We know, that x% equals 46.29 of the output value, so we can write it down as x%=46.29.
5. Now we have two simple equations:
1) 100%=1178.33
2) x%=46.29
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%=1178.33/46.29
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 46.29 is what percent of 1178.33

100%/x%=1178.33/46.29
(100/x)*x=(1178.33/46.29)*x       - we multiply both sides of the equation by x
100=25.455389933031*x       - we divide both sides of the equation by (25.455389933031) to get x
100/25.455389933031=x
3.9284410988433=x
x=3.9284410988433

now we have:
46.29 is 3.9284410988433% of 1178.33