33.7 is what percent of 424.99 - 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 424.99 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 424.99, so we can write it down as 100%=424.99.
4. We know, that x% equals 33.7 of the output value, so we can write it down as x%=33.7.
5. Now we have two simple equations:
1) 100%=424.99
2) x%=33.7
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%=424.99/33.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 33.7 is what percent of 424.99

100%/x%=424.99/33.7
(100/x)*x=(424.99/33.7)*x       - we multiply both sides of the equation by x
100=12.610979228487*x       - we divide both sides of the equation by (12.610979228487) to get x
100/12.610979228487=x
7.9295983434904=x
x=7.9295983434904

now we have:
33.7 is 7.9295983434904% of 424.99