10.13 is what percent of 33.281 - 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 33.281 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 33.281, so we can write it down as 100%=33.281.
4. We know, that x% equals 10.13 of the output value, so we can write it down as x%=10.13.
5. Now we have two simple equations:
1) 100%=33.281
2) x%=10.13
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%=33.281/10.13
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.13 is what percent of 33.281

100%/x%=33.281/10.13
(100/x)*x=(33.281/10.13)*x       - we multiply both sides of the equation by x
100=3.2853899308983*x       - we divide both sides of the equation by (3.2853899308983) to get x
100/3.2853899308983=x
30.437787326102=x
x=30.437787326102

now we have:
10.13 is 30.437787326102% of 33.281