What is 71.5 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 1585 is 100%, so we can write it down as 1585=100%.
4. We know, that x is 71.5% of the output value, so we can write it down as x=71.5%.
5. Now we have two simple equations:
1) 1585=100%
2) x=71.5%
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:
1585/x=100%/71.5%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 71.5% of 1585

1585/x=100/71.5
(1585/x)*x=(100/71.5)*x       - we multiply both sides of the equation by x
1585=1.3986013986014*x       - we divide both sides of the equation by (1.3986013986014) to get x
1585/1.3986013986014=x
1133.275=x
x=1133.275

now we have:
71.5% of 1585=1133.275