7.54 is what percent of 109.65 - 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 109.65 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 109.65, so we can write it down as 100%=109.65.
4. We know, that x% equals 7.54 of the output value, so we can write it down as x%=7.54.
5. Now we have two simple equations:
1) 100%=109.65
2) x%=7.54
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%=109.65/7.54
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.54 is what percent of 109.65

100%/x%=109.65/7.54
(100/x)*x=(109.65/7.54)*x       - we multiply both sides of the equation by x
100=14.542440318302*x       - we divide both sides of the equation by (14.542440318302) to get x
100/14.542440318302=x
6.8764249886001=x
x=6.8764249886001

now we have:
7.54 is 6.8764249886001% of 109.65