40.98 is what percent of 797.98 - 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 797.98 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 797.98, so we can write it down as 100%=797.98.
4. We know, that x% equals 40.98 of the output value, so we can write it down as x%=40.98.
5. Now we have two simple equations:
1) 100%=797.98
2) x%=40.98
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%=797.98/40.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40.98 is what percent of 797.98

100%/x%=797.98/40.98
(100/x)*x=(797.98/40.98)*x       - we multiply both sides of the equation by x
100=19.47242557345*x       - we divide both sides of the equation by (19.47242557345) to get x
100/19.47242557345=x
5.1354670543121=x
x=5.1354670543121

now we have:
40.98 is 5.1354670543121% of 797.98