834.47 is what percent of 1631.43 - 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 1631.43 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 1631.43, so we can write it down as 100%=1631.43.
4. We know, that x% equals 834.47 of the output value, so we can write it down as x%=834.47.
5. Now we have two simple equations:
1) 100%=1631.43
2) x%=834.47
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%=1631.43/834.47
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 834.47 is what percent of 1631.43

100%/x%=1631.43/834.47
(100/x)*x=(1631.43/834.47)*x       - we multiply both sides of the equation by x
100=1.9550493127374*x       - we divide both sides of the equation by (1.9550493127374) to get x
100/1.9550493127374=x
51.149604947807=x
x=51.149604947807

now we have:
834.47 is 51.149604947807% of 1631.43