223.58 is what percent of 1378.12 - 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 1378.12 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 1378.12, so we can write it down as 100%=1378.12.
4. We know, that x% equals 223.58 of the output value, so we can write it down as x%=223.58.
5. Now we have two simple equations:
1) 100%=1378.12
2) x%=223.58
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%=1378.12/223.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 223.58 is what percent of 1378.12

100%/x%=1378.12/223.58
(100/x)*x=(1378.12/223.58)*x       - we multiply both sides of the equation by x
100=6.1638787011361*x       - we divide both sides of the equation by (6.1638787011361) to get x
100/6.1638787011361=x
16.223550924448=x
x=16.223550924448

now we have:
223.58 is 16.223550924448% of 1378.12