83.6 is what percent of 803.6 - 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 803.6 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 803.6, so we can write it down as 100%=803.6.
4. We know, that x% equals 83.6 of the output value, so we can write it down as x%=83.6.
5. Now we have two simple equations:
1) 100%=803.6
2) x%=83.6
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%=803.6/83.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 83.6 is what percent of 803.6

100%/x%=803.6/83.6
(100/x)*x=(803.6/83.6)*x       - we multiply both sides of the equation by x
100=9.6124401913876*x       - we divide both sides of the equation by (9.6124401913876) to get x
100/9.6124401913876=x
10.40318566451=x
x=10.40318566451

now we have:
83.6 is 10.40318566451% of 803.6