10.75 is what percent of 12.35 - 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 12.35 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 12.35, so we can write it down as 100%=12.35.
4. We know, that x% equals 10.75 of the output value, so we can write it down as x%=10.75.
5. Now we have two simple equations:
1) 100%=12.35
2) x%=10.75
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%=12.35/10.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.75 is what percent of 12.35

100%/x%=12.35/10.75
(100/x)*x=(12.35/10.75)*x       - we multiply both sides of the equation by x
100=1.1488372093023*x       - we divide both sides of the equation by (1.1488372093023) to get x
100/1.1488372093023=x
87.044534412955=x
x=87.044534412955

now we have:
10.75 is 87.044534412955% of 12.35