7.45 is what percent of 10.61 - 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 10.61 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 10.61, so we can write it down as 100%=10.61.
4. We know, that x% equals 7.45 of the output value, so we can write it down as x%=7.45.
5. Now we have two simple equations:
1) 100%=10.61
2) x%=7.45
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%=10.61/7.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.45 is what percent of 10.61

100%/x%=10.61/7.45
(100/x)*x=(10.61/7.45)*x       - we multiply both sides of the equation by x
100=1.4241610738255*x       - we divide both sides of the equation by (1.4241610738255) to get x
100/1.4241610738255=x
70.216776625825=x
x=70.216776625825

now we have:
7.45 is 70.216776625825% of 10.61