46 is what percent of 2465 - 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 2465 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 2465, so we can write it down as 100%=2465.
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%=2465
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%=2465/46
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 2465

100%/x%=2465/46
(100/x)*x=(2465/46)*x       - we multiply both sides of the equation by x
100=53.586956521739*x       - we divide both sides of the equation by (53.586956521739) to get x
100/53.586956521739=x
1.8661257606491=x
x=1.8661257606491

now we have:
46 is 1.8661257606491% of 2465