6.87 is what percent of 125.02 - 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 125.02 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 125.02, so we can write it down as 100%=125.02.
4. We know, that x% equals 6.87 of the output value, so we can write it down as x%=6.87.
5. Now we have two simple equations:
1) 100%=125.02
2) x%=6.87
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%=125.02/6.87
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.87 is what percent of 125.02

100%/x%=125.02/6.87
(100/x)*x=(125.02/6.87)*x       - we multiply both sides of the equation by x
100=18.197962154294*x       - we divide both sides of the equation by (18.197962154294) to get x
100/18.197962154294=x
5.4951207806751=x
x=5.4951207806751

now we have:
6.87 is 5.4951207806751% of 125.02