17.57 is what percent of 333.33 - 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 333.33 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 333.33, so we can write it down as 100%=333.33.
4. We know, that x% equals 17.57 of the output value, so we can write it down as x%=17.57.
5. Now we have two simple equations:
1) 100%=333.33
2) x%=17.57
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%=333.33/17.57
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 17.57 is what percent of 333.33

100%/x%=333.33/17.57
(100/x)*x=(333.33/17.57)*x       - we multiply both sides of the equation by x
100=18.971542401821*x       - we divide both sides of the equation by (18.971542401821) to get x
100/18.971542401821=x
5.2710527105271=x
x=5.2710527105271

now we have:
17.57 is 5.2710527105271% of 333.33