1360.96 is what percent of 1070.96 - 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 1070.96 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 1070.96, so we can write it down as 100%=1070.96.
4. We know, that x% equals 1360.96 of the output value, so we can write it down as x%=1360.96.
5. Now we have two simple equations:
1) 100%=1070.96
2) x%=1360.96
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%=1070.96/1360.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1360.96 is what percent of 1070.96

100%/x%=1070.96/1360.96
(100/x)*x=(1070.96/1360.96)*x       - we multiply both sides of the equation by x
100=0.78691511873971*x       - we divide both sides of the equation by (0.78691511873971) to get x
100/0.78691511873971=x
127.07850900127=x
x=127.07850900127

now we have:
1360.96 is 127.07850900127% of 1070.96