214.2 is what percent of 5821.2 - 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 5821.2 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 5821.2, so we can write it down as 100%=5821.2.
4. We know, that x% equals 214.2 of the output value, so we can write it down as x%=214.2.
5. Now we have two simple equations:
1) 100%=5821.2
2) x%=214.2
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%=5821.2/214.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 214.2 is what percent of 5821.2

100%/x%=5821.2/214.2
(100/x)*x=(5821.2/214.2)*x       - we multiply both sides of the equation by x
100=27.176470588235*x       - we divide both sides of the equation by (27.176470588235) to get x
100/27.176470588235=x
3.6796536796537=x
x=3.6796536796537

now we have:
214.2 is 3.6796536796537% of 5821.2