842.6 is what percent of 5980 - 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 5980 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 5980, so we can write it down as 100%=5980.
4. We know, that x% equals 842.6 of the output value, so we can write it down as x%=842.6.
5. Now we have two simple equations:
1) 100%=5980
2) x%=842.6
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%=5980/842.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 842.6 is what percent of 5980

100%/x%=5980/842.6
(100/x)*x=(5980/842.6)*x       - we multiply both sides of the equation by x
100=7.0970804652267*x       - we divide both sides of the equation by (7.0970804652267) to get x
100/7.0970804652267=x
14.090301003344=x
x=14.090301003344

now we have:
842.6 is 14.090301003344% of 5980