1.37 is what percent of 10.99 - 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 10.99 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 10.99, so we can write it down as 100%=10.99.
4. We know, that x% equals 1.37 of the output value, so we can write it down as x%=1.37.
5. Now we have two simple equations:
1) 100%=10.99
2) x%=1.37
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%=10.99/1.37
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.37 is what percent of 10.99

100%/x%=10.99/1.37
(100/x)*x=(10.99/1.37)*x       - we multiply both sides of the equation by x
100=8.021897810219*x       - we divide both sides of the equation by (8.021897810219) to get x
100/8.021897810219=x
12.465878070974=x
x=12.465878070974

now we have:
1.37 is 12.465878070974% of 10.99