126.23 is what percent of 1147 - 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 1147 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 1147, so we can write it down as 100%=1147.
4. We know, that x% equals 126.23 of the output value, so we can write it down as x%=126.23.
5. Now we have two simple equations:
1) 100%=1147
2) x%=126.23
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%=1147/126.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 126.23 is what percent of 1147

100%/x%=1147/126.23
(100/x)*x=(1147/126.23)*x       - we multiply both sides of the equation by x
100=9.0865879743326*x       - we divide both sides of the equation by (9.0865879743326) to get x
100/9.0865879743326=x
11.005231037489=x
x=11.005231037489

now we have:
126.23 is 11.005231037489% of 1147