84.95 is what percent of 100.9 - 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 100.9 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 100.9, so we can write it down as 100%=100.9.
4. We know, that x% equals 84.95 of the output value, so we can write it down as x%=84.95.
5. Now we have two simple equations:
1) 100%=100.9
2) x%=84.95
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%=100.9/84.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 84.95 is what percent of 100.9

100%/x%=100.9/84.95
(100/x)*x=(100.9/84.95)*x       - we multiply both sides of the equation by x
100=1.1877575044144*x       - we divide both sides of the equation by (1.1877575044144) to get x
100/1.1877575044144=x
84.192269573835=x
x=84.192269573835

now we have:
84.95 is 84.192269573835% of 100.9