7.55 is what percent of 10.25 - 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 10.25 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 10.25, so we can write it down as 100%=10.25.
4. We know, that x% equals 7.55 of the output value, so we can write it down as x%=7.55.
5. Now we have two simple equations:
1) 100%=10.25
2) x%=7.55
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%=10.25/7.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.55 is what percent of 10.25

100%/x%=10.25/7.55
(100/x)*x=(10.25/7.55)*x       - we multiply both sides of the equation by x
100=1.3576158940397*x       - we divide both sides of the equation by (1.3576158940397) to get x
100/1.3576158940397=x
73.658536585366=x
x=73.658536585366

now we have:
7.55 is 73.658536585366% of 10.25