112.21 is what percent of 239 - 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 239 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 239, so we can write it down as 100%=239.
4. We know, that x% equals 112.21 of the output value, so we can write it down as x%=112.21.
5. Now we have two simple equations:
1) 100%=239
2) x%=112.21
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%=239/112.21
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 112.21 is what percent of 239

100%/x%=239/112.21
(100/x)*x=(239/112.21)*x       - we multiply both sides of the equation by x
100=2.1299349434097*x       - we divide both sides of the equation by (2.1299349434097) to get x
100/2.1299349434097=x
46.949790794979=x
x=46.949790794979

now we have:
112.21 is 46.949790794979% of 239