6942.15 is what percent of 33500 - 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 33500 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 33500, so we can write it down as 100%=33500.
4. We know, that x% equals 6942.15 of the output value, so we can write it down as x%=6942.15.
5. Now we have two simple equations:
1) 100%=33500
2) x%=6942.15
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%=33500/6942.15
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6942.15 is what percent of 33500

100%/x%=33500/6942.15
(100/x)*x=(33500/6942.15)*x       - we multiply both sides of the equation by x
100=4.825594376382*x       - we divide both sides of the equation by (4.825594376382) to get x
100/4.825594376382=x
20.722835820896=x
x=20.722835820896

now we have:
6942.15 is 20.722835820896% of 33500