9.7 is what percent of 97.4 - 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 97.4 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 97.4, so we can write it down as 100%=97.4.
4. We know, that x% equals 9.7 of the output value, so we can write it down as x%=9.7.
5. Now we have two simple equations:
1) 100%=97.4
2) x%=9.7
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%=97.4/9.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.7 is what percent of 97.4

100%/x%=97.4/9.7
(100/x)*x=(97.4/9.7)*x       - we multiply both sides of the equation by x
100=10.041237113402*x       - we divide both sides of the equation by (10.041237113402) to get x
100/10.041237113402=x
9.958932238193=x
x=9.958932238193

now we have:
9.7 is 9.958932238193% of 97.4