839.05 is what percent of 849 - 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 849 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 849, so we can write it down as 100%=849.
4. We know, that x% equals 839.05 of the output value, so we can write it down as x%=839.05.
5. Now we have two simple equations:
1) 100%=849
2) x%=839.05
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%=849/839.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 839.05 is what percent of 849

100%/x%=849/839.05
(100/x)*x=(849/839.05)*x       - we multiply both sides of the equation by x
100=1.0118586496633*x       - we divide both sides of the equation by (1.0118586496633) to get x
100/1.0118586496633=x
98.828032979976=x
x=98.828032979976

now we have:
839.05 is 98.828032979976% of 849