535.23 is what percent of 3303.6 - 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 3303.6 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 3303.6, so we can write it down as 100%=3303.6.
4. We know, that x% equals 535.23 of the output value, so we can write it down as x%=535.23.
5. Now we have two simple equations:
1) 100%=3303.6
2) x%=535.23
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%=3303.6/535.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 535.23 is what percent of 3303.6

100%/x%=3303.6/535.23
(100/x)*x=(3303.6/535.23)*x       - we multiply both sides of the equation by x
100=6.1722997589821*x       - we divide both sides of the equation by (6.1722997589821) to get x
100/6.1722997589821=x
16.201416636397=x
x=16.201416636397

now we have:
535.23 is 16.201416636397% of 3303.6