1315.59 is what percent of 1603.8 - 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 1603.8 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 1603.8, so we can write it down as 100%=1603.8.
4. We know, that x% equals 1315.59 of the output value, so we can write it down as x%=1315.59.
5. Now we have two simple equations:
1) 100%=1603.8
2) x%=1315.59
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%=1603.8/1315.59
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1315.59 is what percent of 1603.8

100%/x%=1603.8/1315.59
(100/x)*x=(1603.8/1315.59)*x       - we multiply both sides of the equation by x
100=1.2190728114382*x       - we divide both sides of the equation by (1.2190728114382) to get x
100/1.2190728114382=x
82.029554807333=x
x=82.029554807333

now we have:
1315.59 is 82.029554807333% of 1603.8