971.52 is what percent of 1380 - 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 1380 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 1380, so we can write it down as 100%=1380.
4. We know, that x% equals 971.52 of the output value, so we can write it down as x%=971.52.
5. Now we have two simple equations:
1) 100%=1380
2) x%=971.52
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%=1380/971.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 971.52 is what percent of 1380

100%/x%=1380/971.52
(100/x)*x=(1380/971.52)*x       - we multiply both sides of the equation by x
100=1.4204545454545*x       - we divide both sides of the equation by (1.4204545454545) to get x
100/1.4204545454545=x
70.4=x
x=70.4

now we have:
971.52 is 70.4% of 1380