46 is what percent of 2055 - 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 2055 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 2055, so we can write it down as 100%=2055.
4. We know, that x% equals 46 of the output value, so we can write it down as x%=46.
5. Now we have two simple equations:
1) 100%=2055
2) x%=46
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%=2055/46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 46 is what percent of 2055

100%/x%=2055/46
(100/x)*x=(2055/46)*x       - we multiply both sides of the equation by x
100=44.673913043478*x       - we divide both sides of the equation by (44.673913043478) to get x
100/44.673913043478=x
2.2384428223844=x
x=2.2384428223844

now we have:
46 is 2.2384428223844% of 2055