974.42 is what percent of 2079.42 - 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 2079.42 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 2079.42, so we can write it down as 100%=2079.42.
4. We know, that x% equals 974.42 of the output value, so we can write it down as x%=974.42.
5. Now we have two simple equations:
1) 100%=2079.42
2) x%=974.42
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%=2079.42/974.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 974.42 is what percent of 2079.42

100%/x%=2079.42/974.42
(100/x)*x=(2079.42/974.42)*x       - we multiply both sides of the equation by x
100=2.1340079226617*x       - we divide both sides of the equation by (2.1340079226617) to get x
100/2.1340079226617=x
46.860182166181=x
x=46.860182166181

now we have:
974.42 is 46.860182166181% of 2079.42