84.18 is what percent of 101.13 - 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 101.13 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 101.13, so we can write it down as 100%=101.13.
4. We know, that x% equals 84.18 of the output value, so we can write it down as x%=84.18.
5. Now we have two simple equations:
1) 100%=101.13
2) x%=84.18
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%=101.13/84.18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 84.18 is what percent of 101.13

100%/x%=101.13/84.18
(100/x)*x=(101.13/84.18)*x       - we multiply both sides of the equation by x
100=1.2013542409123*x       - we divide both sides of the equation by (1.2013542409123) to get x
100/1.2013542409123=x
83.239394838327=x
x=83.239394838327

now we have:
84.18 is 83.239394838327% of 101.13