0.83 is what percent of 10.43 - 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 10.43 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 10.43, so we can write it down as 100%=10.43.
4. We know, that x% equals 0.83 of the output value, so we can write it down as x%=0.83.
5. Now we have two simple equations:
1) 100%=10.43
2) x%=0.83
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%=10.43/0.83
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.83 is what percent of 10.43

100%/x%=10.43/0.83
(100/x)*x=(10.43/0.83)*x       - we multiply both sides of the equation by x
100=12.566265060241*x       - we divide both sides of the equation by (12.566265060241) to get x
100/12.566265060241=x
7.9578139980825=x
x=7.9578139980825

now we have:
0.83 is 7.9578139980825% of 10.43