5.07 is what percent of 107.98 - 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 107.98 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 107.98, so we can write it down as 100%=107.98.
4. We know, that x% equals 5.07 of the output value, so we can write it down as x%=5.07.
5. Now we have two simple equations:
1) 100%=107.98
2) x%=5.07
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%=107.98/5.07
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.07 is what percent of 107.98

100%/x%=107.98/5.07
(100/x)*x=(107.98/5.07)*x       - we multiply both sides of the equation by x
100=21.297830374753*x       - we divide both sides of the equation by (21.297830374753) to get x
100/21.297830374753=x
4.6953139470272=x
x=4.6953139470272

now we have:
5.07 is 4.6953139470272% of 107.98