110.64 is what percent of 1412 - 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 1412 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 1412, so we can write it down as 100%=1412.
4. We know, that x% equals 110.64 of the output value, so we can write it down as x%=110.64.
5. Now we have two simple equations:
1) 100%=1412
2) x%=110.64
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%=1412/110.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 110.64 is what percent of 1412

100%/x%=1412/110.64
(100/x)*x=(1412/110.64)*x       - we multiply both sides of the equation by x
100=12.762111352133*x       - we divide both sides of the equation by (12.762111352133) to get x
100/12.762111352133=x
7.8356940509915=x
x=7.8356940509915

now we have:
110.64 is 7.8356940509915% of 1412