10.77 is what percent of 26.99 - 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 26.99 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 26.99, so we can write it down as 100%=26.99.
4. We know, that x% equals 10.77 of the output value, so we can write it down as x%=10.77.
5. Now we have two simple equations:
1) 100%=26.99
2) x%=10.77
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%=26.99/10.77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.77 is what percent of 26.99

100%/x%=26.99/10.77
(100/x)*x=(26.99/10.77)*x       - we multiply both sides of the equation by x
100=2.5060352831941*x       - we divide both sides of the equation by (2.5060352831941) to get x
100/2.5060352831941=x
39.903668025195=x
x=39.903668025195

now we have:
10.77 is 39.903668025195% of 26.99