106.95 is what percent of 1342.7 - 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 1342.7 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 1342.7, so we can write it down as 100%=1342.7.
4. We know, that x% equals 106.95 of the output value, so we can write it down as x%=106.95.
5. Now we have two simple equations:
1) 100%=1342.7
2) x%=106.95
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%=1342.7/106.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 106.95 is what percent of 1342.7

100%/x%=1342.7/106.95
(100/x)*x=(1342.7/106.95)*x       - we multiply both sides of the equation by x
100=12.554464703132*x       - we divide both sides of the equation by (12.554464703132) to get x
100/12.554464703132=x
7.9652938109779=x
x=7.9652938109779

now we have:
106.95 is 7.9652938109779% of 1342.7