100.5 is what percent of 112 - 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 112 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 112, so we can write it down as 100%=112.
4. We know, that x% equals 100.5 of the output value, so we can write it down as x%=100.5.
5. Now we have two simple equations:
1) 100%=112
2) x%=100.5
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%=112/100.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 100.5 is what percent of 112

100%/x%=112/100.5
(100/x)*x=(112/100.5)*x       - we multiply both sides of the equation by x
100=1.1144278606965*x       - we divide both sides of the equation by (1.1144278606965) to get x
100/1.1144278606965=x
89.732142857143=x
x=89.732142857143

now we have:
100.5 is 89.732142857143% of 112