628.6 is what percent of 838 - 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 838 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 838, so we can write it down as 100%=838.
4. We know, that x% equals 628.6 of the output value, so we can write it down as x%=628.6.
5. Now we have two simple equations:
1) 100%=838
2) x%=628.6
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%=838/628.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 628.6 is what percent of 838

100%/x%=838/628.6
(100/x)*x=(838/628.6)*x       - we multiply both sides of the equation by x
100=1.3331212217626*x       - we divide both sides of the equation by (1.3331212217626) to get x
100/1.3331212217626=x
75.011933174224=x
x=75.011933174224

now we have:
628.6 is 75.011933174224% of 838