15.91 is what percent of 33.49 - 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 33.49 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 33.49, so we can write it down as 100%=33.49.
4. We know, that x% equals 15.91 of the output value, so we can write it down as x%=15.91.
5. Now we have two simple equations:
1) 100%=33.49
2) x%=15.91
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%=33.49/15.91
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 15.91 is what percent of 33.49

100%/x%=33.49/15.91
(100/x)*x=(33.49/15.91)*x       - we multiply both sides of the equation by x
100=2.1049654305468*x       - we divide both sides of the equation by (2.1049654305468) to get x
100/2.1049654305468=x
47.50671842341=x
x=47.50671842341

now we have:
15.91 is 47.50671842341% of 33.49