74.79 is what percent of 884.2 - 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 884.2 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 884.2, so we can write it down as 100%=884.2.
4. We know, that x% equals 74.79 of the output value, so we can write it down as x%=74.79.
5. Now we have two simple equations:
1) 100%=884.2
2) x%=74.79
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%=884.2/74.79
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 74.79 is what percent of 884.2

100%/x%=884.2/74.79
(100/x)*x=(884.2/74.79)*x       - we multiply both sides of the equation by x
100=11.822436154566*x       - we divide both sides of the equation by (11.822436154566) to get x
100/11.822436154566=x
8.4584935534947=x
x=8.4584935534947

now we have:
74.79 is 8.4584935534947% of 884.2