10.16 is what percent of 29.83 - 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 29.83 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 29.83, so we can write it down as 100%=29.83.
4. We know, that x% equals 10.16 of the output value, so we can write it down as x%=10.16.
5. Now we have two simple equations:
1) 100%=29.83
2) x%=10.16
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%=29.83/10.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.16 is what percent of 29.83

100%/x%=29.83/10.16
(100/x)*x=(29.83/10.16)*x       - we multiply both sides of the equation by x
100=2.9360236220472*x       - we divide both sides of the equation by (2.9360236220472) to get x
100/2.9360236220472=x
34.059671471673=x
x=34.059671471673

now we have:
10.16 is 34.059671471673% of 29.83