878.55 is what percent of 8199.78 - 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 8199.78 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 8199.78, so we can write it down as 100%=8199.78.
4. We know, that x% equals 878.55 of the output value, so we can write it down as x%=878.55.
5. Now we have two simple equations:
1) 100%=8199.78
2) x%=878.55
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%=8199.78/878.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 878.55 is what percent of 8199.78

100%/x%=8199.78/878.55
(100/x)*x=(8199.78/878.55)*x       - we multiply both sides of the equation by x
100=9.3333105685505*x       - we divide both sides of the equation by (9.3333105685505) to get x
100/9.3333105685505=x
10.714311847391=x
x=10.714311847391

now we have:
878.55 is 10.714311847391% of 8199.78