7 is what percent of 140.88 - 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 140.88 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 140.88, so we can write it down as 100%=140.88.
4. We know, that x% equals 7 of the output value, so we can write it down as x%=7.
5. Now we have two simple equations:
1) 100%=140.88
2) x%=7
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%=140.88/7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7 is what percent of 140.88

100%/x%=140.88/7
(100/x)*x=(140.88/7)*x       - we multiply both sides of the equation by x
100=20.125714285714*x       - we divide both sides of the equation by (20.125714285714) to get x
100/20.125714285714=x
4.9687677455991=x
x=4.9687677455991

now we have:
7 is 4.9687677455991% of 140.88