46 is what percent of 1585 - 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 1585 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 1585, so we can write it down as 100%=1585.
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%=1585
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%=1585/46
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 1585

100%/x%=1585/46
(100/x)*x=(1585/46)*x       - we multiply both sides of the equation by x
100=34.45652173913*x       - we divide both sides of the equation by (34.45652173913) to get x
100/34.45652173913=x
2.9022082018927=x
x=2.9022082018927

now we have:
46 is 2.9022082018927% of 1585