188.99 is what percent of 395.7 - 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 395.7 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 395.7, so we can write it down as 100%=395.7.
4. We know, that x% equals 188.99 of the output value, so we can write it down as x%=188.99.
5. Now we have two simple equations:
1) 100%=395.7
2) x%=188.99
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%=395.7/188.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 188.99 is what percent of 395.7

100%/x%=395.7/188.99
(100/x)*x=(395.7/188.99)*x       - we multiply both sides of the equation by x
100=2.0937615746865*x       - we divide both sides of the equation by (2.0937615746865) to get x
100/2.0937615746865=x
47.760929997473=x
x=47.760929997473

now we have:
188.99 is 47.760929997473% of 395.7