1.15 is what percent of 223.8 - 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 223.8 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 223.8, so we can write it down as 100%=223.8.
4. We know, that x% equals 1.15 of the output value, so we can write it down as x%=1.15.
5. Now we have two simple equations:
1) 100%=223.8
2) x%=1.15
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%=223.8/1.15
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.15 is what percent of 223.8

100%/x%=223.8/1.15
(100/x)*x=(223.8/1.15)*x       - we multiply both sides of the equation by x
100=194.60869565217*x       - we divide both sides of the equation by (194.60869565217) to get x
100/194.60869565217=x
0.51385165326184=x
x=0.51385165326184

now we have:
1.15 is 0.51385165326184% of 223.8