10.26 is what percent of 69.2 - 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 69.2 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 69.2, so we can write it down as 100%=69.2.
4. We know, that x% equals 10.26 of the output value, so we can write it down as x%=10.26.
5. Now we have two simple equations:
1) 100%=69.2
2) x%=10.26
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%=69.2/10.26
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.26 is what percent of 69.2

100%/x%=69.2/10.26
(100/x)*x=(69.2/10.26)*x       - we multiply both sides of the equation by x
100=6.7446393762183*x       - we divide both sides of the equation by (6.7446393762183) to get x
100/6.7446393762183=x
14.826589595376=x
x=14.826589595376

now we have:
10.26 is 14.826589595376% of 69.2