46 is what percent of 2657 - 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 2657 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 2657, so we can write it down as 100%=2657.
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%=2657
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%=2657/46
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 2657

100%/x%=2657/46
(100/x)*x=(2657/46)*x       - we multiply both sides of the equation by x
100=57.760869565217*x       - we divide both sides of the equation by (57.760869565217) to get x
100/57.760869565217=x
1.731275875047=x
x=1.731275875047

now we have:
46 is 1.731275875047% of 2657