45 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 45 of the output value, so we can write it down as x%=45.
5. Now we have two simple equations:
1) 100%=1585
2) x%=45
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%=1585/45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45 is what percent of 1585

100%/x%=1585/45
(100/x)*x=(1585/45)*x       - we multiply both sides of the equation by x
100=35.222222222222*x       - we divide both sides of the equation by (35.222222222222) to get x
100/35.222222222222=x
2.8391167192429=x
x=2.8391167192429

now we have:
45 is 2.8391167192429% of 1585