46 is what percent of 2135 - 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 2135 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 2135, so we can write it down as 100%=2135.
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%=2135
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%=2135/46
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 2135

100%/x%=2135/46
(100/x)*x=(2135/46)*x       - we multiply both sides of the equation by x
100=46.413043478261*x       - we divide both sides of the equation by (46.413043478261) to get x
100/46.413043478261=x
2.1545667447307=x
x=2.1545667447307

now we have:
46 is 2.1545667447307% of 2135