36.29 is what percent of 853.94 - 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 853.94 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 853.94, so we can write it down as 100%=853.94.
4. We know, that x% equals 36.29 of the output value, so we can write it down as x%=36.29.
5. Now we have two simple equations:
1) 100%=853.94
2) x%=36.29
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%=853.94/36.29
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 36.29 is what percent of 853.94

100%/x%=853.94/36.29
(100/x)*x=(853.94/36.29)*x       - we multiply both sides of the equation by x
100=23.531000275558*x       - we divide both sides of the equation by (23.531000275558) to get x
100/23.531000275558=x
4.2497130945968=x
x=4.2497130945968

now we have:
36.29 is 4.2497130945968% of 853.94