214.16 is what percent of 1350.41 - 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 1350.41 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 1350.41, so we can write it down as 100%=1350.41.
4. We know, that x% equals 214.16 of the output value, so we can write it down as x%=214.16.
5. Now we have two simple equations:
1) 100%=1350.41
2) x%=214.16
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%=1350.41/214.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 214.16 is what percent of 1350.41

100%/x%=1350.41/214.16
(100/x)*x=(1350.41/214.16)*x       - we multiply both sides of the equation by x
100=6.305612626074*x       - we divide both sides of the equation by (6.305612626074) to get x
100/6.305612626074=x
15.858887300894=x
x=15.858887300894

now we have:
214.16 is 15.858887300894% of 1350.41