78.45 is what percent of 99.05 - 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 99.05 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 99.05, so we can write it down as 100%=99.05.
4. We know, that x% equals 78.45 of the output value, so we can write it down as x%=78.45.
5. Now we have two simple equations:
1) 100%=99.05
2) x%=78.45
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%=99.05/78.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 78.45 is what percent of 99.05

100%/x%=99.05/78.45
(100/x)*x=(99.05/78.45)*x       - we multiply both sides of the equation by x
100=1.2625876354366*x       - we divide both sides of the equation by (1.2625876354366) to get x
100/1.2625876354366=x
79.202423018677=x
x=79.202423018677

now we have:
78.45 is 79.202423018677% of 99.05