679.2 is what percent of 970.29 - 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 970.29 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 970.29, so we can write it down as 100%=970.29.
4. We know, that x% equals 679.2 of the output value, so we can write it down as x%=679.2.
5. Now we have two simple equations:
1) 100%=970.29
2) x%=679.2
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%=970.29/679.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 679.2 is what percent of 970.29

100%/x%=970.29/679.2
(100/x)*x=(970.29/679.2)*x       - we multiply both sides of the equation by x
100=1.4285777385159*x       - we divide both sides of the equation by (1.4285777385159) to get x
100/1.4285777385159=x
69.999690814087=x
x=69.999690814087

now we have:
679.2 is 69.999690814087% of 970.29