979.06 is what percent of 1344.42 - 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 1344.42 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 1344.42, so we can write it down as 100%=1344.42.
4. We know, that x% equals 979.06 of the output value, so we can write it down as x%=979.06.
5. Now we have two simple equations:
1) 100%=1344.42
2) x%=979.06
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%=1344.42/979.06
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 979.06 is what percent of 1344.42

100%/x%=1344.42/979.06
(100/x)*x=(1344.42/979.06)*x       - we multiply both sides of the equation by x
100=1.373174269197*x       - we divide both sides of the equation by (1.373174269197) to get x
100/1.373174269197=x
72.823968700257=x
x=72.823968700257

now we have:
979.06 is 72.823968700257% of 1344.42