63.6 is what percent of 89.843 - 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 89.843 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 89.843, so we can write it down as 100%=89.843.
4. We know, that x% equals 63.6 of the output value, so we can write it down as x%=63.6.
5. Now we have two simple equations:
1) 100%=89.843
2) x%=63.6
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%=89.843/63.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 63.6 is what percent of 89.843

100%/x%=89.843/63.6
(100/x)*x=(89.843/63.6)*x       - we multiply both sides of the equation by x
100=1.4126257861635*x       - we divide both sides of the equation by (1.4126257861635) to get x
100/1.4126257861635=x
70.790156161304=x
x=70.790156161304

now we have:
63.6 is 70.790156161304% of 89.843