10.59 is what percent of 71.79 - 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 71.79 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 71.79, so we can write it down as 100%=71.79.
4. We know, that x% equals 10.59 of the output value, so we can write it down as x%=10.59.
5. Now we have two simple equations:
1) 100%=71.79
2) x%=10.59
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%=71.79/10.59
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.59 is what percent of 71.79

100%/x%=71.79/10.59
(100/x)*x=(71.79/10.59)*x       - we multiply both sides of the equation by x
100=6.7790368271955*x       - we divide both sides of the equation by (6.7790368271955) to get x
100/6.7790368271955=x
14.751358127873=x
x=14.751358127873

now we have:
10.59 is 14.751358127873% of 71.79