1540.23 is what percent of 8017.98 - 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 8017.98 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 8017.98, so we can write it down as 100%=8017.98.
4. We know, that x% equals 1540.23 of the output value, so we can write it down as x%=1540.23.
5. Now we have two simple equations:
1) 100%=8017.98
2) x%=1540.23
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%=8017.98/1540.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1540.23 is what percent of 8017.98

100%/x%=8017.98/1540.23
(100/x)*x=(8017.98/1540.23)*x       - we multiply both sides of the equation by x
100=5.2057030443505*x       - we divide both sides of the equation by (5.2057030443505) to get x
100/5.2057030443505=x
19.209701196561=x
x=19.209701196561

now we have:
1540.23 is 19.209701196561% of 8017.98