8 is what percent of 7.87 - 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 7.87 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 7.87, so we can write it down as 100%=7.87.
4. We know, that x% equals 8 of the output value, so we can write it down as x%=8.
5. Now we have two simple equations:
1) 100%=7.87
2) x%=8
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%=7.87/8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8 is what percent of 7.87

100%/x%=7.87/8
(100/x)*x=(7.87/8)*x       - we multiply both sides of the equation by x
100=0.98375*x       - we divide both sides of the equation by (0.98375) to get x
100/0.98375=x
101.65184243964=x
x=101.65184243964

now we have:
8 is 101.65184243964% of 7.87