5.45 is what percent of 79.57 - 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 79.57 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 79.57, so we can write it down as 100%=79.57.
4. We know, that x% equals 5.45 of the output value, so we can write it down as x%=5.45.
5. Now we have two simple equations:
1) 100%=79.57
2) x%=5.45
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%=79.57/5.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.45 is what percent of 79.57

100%/x%=79.57/5.45
(100/x)*x=(79.57/5.45)*x       - we multiply both sides of the equation by x
100=14.6*x       - we divide both sides of the equation by (14.6) to get x
100/14.6=x
6.8493150684932=x
x=6.8493150684932

now we have:
5.45 is 6.8493150684932% of 79.57