5.05 is what percent of 42.98 - 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 42.98 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 42.98, so we can write it down as 100%=42.98.
4. We know, that x% equals 5.05 of the output value, so we can write it down as x%=5.05.
5. Now we have two simple equations:
1) 100%=42.98
2) x%=5.05
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%=42.98/5.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.05 is what percent of 42.98

100%/x%=42.98/5.05
(100/x)*x=(42.98/5.05)*x       - we multiply both sides of the equation by x
100=8.5108910891089*x       - we divide both sides of the equation by (8.5108910891089) to get x
100/8.5108910891089=x
11.749651000465=x
x=11.749651000465

now we have:
5.05 is 11.749651000465% of 42.98