971.62 is what percent of 1220.35 - 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 1220.35 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 1220.35, so we can write it down as 100%=1220.35.
4. We know, that x% equals 971.62 of the output value, so we can write it down as x%=971.62.
5. Now we have two simple equations:
1) 100%=1220.35
2) x%=971.62
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%=1220.35/971.62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 971.62 is what percent of 1220.35

100%/x%=1220.35/971.62
(100/x)*x=(1220.35/971.62)*x       - we multiply both sides of the equation by x
100=1.2559951421338*x       - we divide both sides of the equation by (1.2559951421338) to get x
100/1.2559951421338=x
79.618142336215=x
x=79.618142336215

now we have:
971.62 is 79.618142336215% of 1220.35