187.6 is what percent of 188.6 - 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 188.6 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 188.6, so we can write it down as 100%=188.6.
4. We know, that x% equals 187.6 of the output value, so we can write it down as x%=187.6.
5. Now we have two simple equations:
1) 100%=188.6
2) x%=187.6
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%=188.6/187.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 187.6 is what percent of 188.6

100%/x%=188.6/187.6
(100/x)*x=(188.6/187.6)*x       - we multiply both sides of the equation by x
100=1.0053304904051*x       - we divide both sides of the equation by (1.0053304904051) to get x
100/1.0053304904051=x
99.469777306469=x
x=99.469777306469

now we have:
187.6 is 99.469777306469% of 188.6