101.37 is what percent of 1275 - 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 1275 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 1275, so we can write it down as 100%=1275.
4. We know, that x% equals 101.37 of the output value, so we can write it down as x%=101.37.
5. Now we have two simple equations:
1) 100%=1275
2) x%=101.37
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%=1275/101.37
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 101.37 is what percent of 1275

100%/x%=1275/101.37
(100/x)*x=(1275/101.37)*x       - we multiply both sides of the equation by x
100=12.57768570583*x       - we divide both sides of the equation by (12.57768570583) to get x
100/12.57768570583=x
7.9505882352941=x
x=7.9505882352941

now we have:
101.37 is 7.9505882352941% of 1275