237.3 is what percent of 224.2 - 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 224.2 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 224.2, so we can write it down as 100%=224.2.
4. We know, that x% equals 237.3 of the output value, so we can write it down as x%=237.3.
5. Now we have two simple equations:
1) 100%=224.2
2) x%=237.3
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%=224.2/237.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 237.3 is what percent of 224.2

100%/x%=224.2/237.3
(100/x)*x=(224.2/237.3)*x       - we multiply both sides of the equation by x
100=0.94479561736199*x       - we divide both sides of the equation by (0.94479561736199) to get x
100/0.94479561736199=x
105.84299732382=x
x=105.84299732382

now we have:
237.3 is 105.84299732382% of 224.2