10.67 is what percent of 26.67 - 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 26.67 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 26.67, so we can write it down as 100%=26.67.
4. We know, that x% equals 10.67 of the output value, so we can write it down as x%=10.67.
5. Now we have two simple equations:
1) 100%=26.67
2) x%=10.67
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%=26.67/10.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.67 is what percent of 26.67

100%/x%=26.67/10.67
(100/x)*x=(26.67/10.67)*x       - we multiply both sides of the equation by x
100=2.4995313964386*x       - we divide both sides of the equation by (2.4995313964386) to get x
100/2.4995313964386=x
40.007499062617=x
x=40.007499062617

now we have:
10.67 is 40.007499062617% of 26.67