6.9 is what percent of 1.377 - 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 1.377 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 1.377, so we can write it down as 100%=1.377.
4. We know, that x% equals 6.9 of the output value, so we can write it down as x%=6.9.
5. Now we have two simple equations:
1) 100%=1.377
2) x%=6.9
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%=1.377/6.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.9 is what percent of 1.377

100%/x%=1.377/6.9
(100/x)*x=(1.377/6.9)*x       - we multiply both sides of the equation by x
100=0.1995652173913*x       - we divide both sides of the equation by (0.1995652173913) to get x
100/0.1995652173913=x
501.08932461874=x
x=501.08932461874

now we have:
6.9 is 501.08932461874% of 1.377