1607.8 is what percent of 1987 - 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 1987 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 1987, so we can write it down as 100%=1987.
4. We know, that x% equals 1607.8 of the output value, so we can write it down as x%=1607.8.
5. Now we have two simple equations:
1) 100%=1987
2) x%=1607.8
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%=1987/1607.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1607.8 is what percent of 1987

100%/x%=1987/1607.8
(100/x)*x=(1987/1607.8)*x       - we multiply both sides of the equation by x
100=1.2358502301281*x       - we divide both sides of the equation by (1.2358502301281) to get x
100/1.2358502301281=x
80.915953699044=x
x=80.915953699044

now we have:
1607.8 is 80.915953699044% of 1987