46 is what percent of 2035 - 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 2035 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 2035, so we can write it down as 100%=2035.
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%=2035
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%=2035/46
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 2035

100%/x%=2035/46
(100/x)*x=(2035/46)*x       - we multiply both sides of the equation by x
100=44.239130434783*x       - we divide both sides of the equation by (44.239130434783) to get x
100/44.239130434783=x
2.2604422604423=x
x=2.2604422604423

now we have:
46 is 2.2604422604423% of 2035