33.29 is what percent of 359.9 - 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 359.9 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 359.9, so we can write it down as 100%=359.9.
4. We know, that x% equals 33.29 of the output value, so we can write it down as x%=33.29.
5. Now we have two simple equations:
1) 100%=359.9
2) x%=33.29
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%=359.9/33.29
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 33.29 is what percent of 359.9

100%/x%=359.9/33.29
(100/x)*x=(359.9/33.29)*x       - we multiply both sides of the equation by x
100=10.811054370682*x       - we divide both sides of the equation by (10.811054370682) to get x
100/10.811054370682=x
9.2497916087802=x
x=9.2497916087802

now we have:
33.29 is 9.2497916087802% of 359.9