5311.98 is what percent of 33167.37 - 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 33167.37 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 33167.37, so we can write it down as 100%=33167.37.
4. We know, that x% equals 5311.98 of the output value, so we can write it down as x%=5311.98.
5. Now we have two simple equations:
1) 100%=33167.37
2) x%=5311.98
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%=33167.37/5311.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5311.98 is what percent of 33167.37

100%/x%=33167.37/5311.98
(100/x)*x=(33167.37/5311.98)*x       - we multiply both sides of the equation by x
100=6.2438808128043*x       - we divide both sides of the equation by (6.2438808128043) to get x
100/6.2438808128043=x
16.0156804715=x
x=16.0156804715

now we have:
5311.98 is 16.0156804715% of 33167.37