212.98 is what percent of 1413.35 - 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 1413.35 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 1413.35, so we can write it down as 100%=1413.35.
4. We know, that x% equals 212.98 of the output value, so we can write it down as x%=212.98.
5. Now we have two simple equations:
1) 100%=1413.35
2) x%=212.98
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%=1413.35/212.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 212.98 is what percent of 1413.35

100%/x%=1413.35/212.98
(100/x)*x=(1413.35/212.98)*x       - we multiply both sides of the equation by x
100=6.6360691144708*x       - we divide both sides of the equation by (6.6360691144708) to get x
100/6.6360691144708=x
15.06916192026=x
x=15.06916192026

now we have:
212.98 is 15.06916192026% of 1413.35