6.92 is what percent of 138.58 - 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 138.58 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 138.58, so we can write it down as 100%=138.58.
4. We know, that x% equals 6.92 of the output value, so we can write it down as x%=6.92.
5. Now we have two simple equations:
1) 100%=138.58
2) x%=6.92
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%=138.58/6.92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.92 is what percent of 138.58

100%/x%=138.58/6.92
(100/x)*x=(138.58/6.92)*x       - we multiply both sides of the equation by x
100=20.026011560694*x       - we divide both sides of the equation by (20.026011560694) to get x
100/20.026011560694=x
4.9935055563573=x
x=4.9935055563573

now we have:
6.92 is 4.9935055563573% of 138.58