10.6 is what percent of 267.54 - 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 267.54 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 267.54, so we can write it down as 100%=267.54.
4. We know, that x% equals 10.6 of the output value, so we can write it down as x%=10.6.
5. Now we have two simple equations:
1) 100%=267.54
2) x%=10.6
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%=267.54/10.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.6 is what percent of 267.54

100%/x%=267.54/10.6
(100/x)*x=(267.54/10.6)*x       - we multiply both sides of the equation by x
100=25.239622641509*x       - we divide both sides of the equation by (25.239622641509) to get x
100/25.239622641509=x
3.9620243701876=x
x=3.9620243701876

now we have:
10.6 is 3.9620243701876% of 267.54