333.2 is what percent of 2424.23 - 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 2424.23 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 2424.23, so we can write it down as 100%=2424.23.
4. We know, that x% equals 333.2 of the output value, so we can write it down as x%=333.2.
5. Now we have two simple equations:
1) 100%=2424.23
2) x%=333.2
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%=2424.23/333.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 333.2 is what percent of 2424.23

100%/x%=2424.23/333.2
(100/x)*x=(2424.23/333.2)*x       - we multiply both sides of the equation by x
100=7.275600240096*x       - we divide both sides of the equation by (7.275600240096) to get x
100/7.275600240096=x
13.744570440924=x
x=13.744570440924

now we have:
333.2 is 13.744570440924% of 2424.23