7.24 is what percent of 77.34 - 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 77.34 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 77.34, so we can write it down as 100%=77.34.
4. We know, that x% equals 7.24 of the output value, so we can write it down as x%=7.24.
5. Now we have two simple equations:
1) 100%=77.34
2) x%=7.24
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%=77.34/7.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.24 is what percent of 77.34

100%/x%=77.34/7.24
(100/x)*x=(77.34/7.24)*x       - we multiply both sides of the equation by x
100=10.682320441989*x       - we divide both sides of the equation by (10.682320441989) to get x
100/10.682320441989=x
9.3612619601758=x
x=9.3612619601758

now we have:
7.24 is 9.3612619601758% of 77.34