33.69 is what percent of 497.2 - 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 497.2 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 497.2, so we can write it down as 100%=497.2.
4. We know, that x% equals 33.69 of the output value, so we can write it down as x%=33.69.
5. Now we have two simple equations:
1) 100%=497.2
2) x%=33.69
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%=497.2/33.69
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 33.69 is what percent of 497.2

100%/x%=497.2/33.69
(100/x)*x=(497.2/33.69)*x       - we multiply both sides of the equation by x
100=14.758088453547*x       - we divide both sides of the equation by (14.758088453547) to get x
100/14.758088453547=x
6.7759452936444=x
x=6.7759452936444

now we have:
33.69 is 6.7759452936444% of 497.2