9.83 is what percent of 9.74 - 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 9.74 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 9.74, so we can write it down as 100%=9.74.
4. We know, that x% equals 9.83 of the output value, so we can write it down as x%=9.83.
5. Now we have two simple equations:
1) 100%=9.74
2) x%=9.83
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%=9.74/9.83
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.83 is what percent of 9.74

100%/x%=9.74/9.83
(100/x)*x=(9.74/9.83)*x       - we multiply both sides of the equation by x
100=0.99084435401831*x       - we divide both sides of the equation by (0.99084435401831) to get x
100/0.99084435401831=x
100.92402464066=x
x=100.92402464066

now we have:
9.83 is 100.92402464066% of 9.74