214.4 is what percent of 223.6 - 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 223.6 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 223.6, so we can write it down as 100%=223.6.
4. We know, that x% equals 214.4 of the output value, so we can write it down as x%=214.4.
5. Now we have two simple equations:
1) 100%=223.6
2) x%=214.4
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%=223.6/214.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 214.4 is what percent of 223.6

100%/x%=223.6/214.4
(100/x)*x=(223.6/214.4)*x       - we multiply both sides of the equation by x
100=1.0429104477612*x       - we divide both sides of the equation by (1.0429104477612) to get x
100/1.0429104477612=x
95.885509838998=x
x=95.885509838998

now we have:
214.4 is 95.885509838998% of 223.6