32.9 is what percent of 569.57 - 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 569.57 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 569.57, so we can write it down as 100%=569.57.
4. We know, that x% equals 32.9 of the output value, so we can write it down as x%=32.9.
5. Now we have two simple equations:
1) 100%=569.57
2) x%=32.9
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%=569.57/32.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 32.9 is what percent of 569.57

100%/x%=569.57/32.9
(100/x)*x=(569.57/32.9)*x       - we multiply both sides of the equation by x
100=17.312158054711*x       - we divide both sides of the equation by (17.312158054711) to get x
100/17.312158054711=x
5.7762873746862=x
x=5.7762873746862

now we have:
32.9 is 5.7762873746862% of 569.57