842.7 is what percent of 508667.79 - 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 508667.79 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 508667.79, so we can write it down as 100%=508667.79.
4. We know, that x% equals 842.7 of the output value, so we can write it down as x%=842.7.
5. Now we have two simple equations:
1) 100%=508667.79
2) x%=842.7
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%=508667.79/842.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 842.7 is what percent of 508667.79

100%/x%=508667.79/842.7
(100/x)*x=(508667.79/842.7)*x       - we multiply both sides of the equation by x
100=603.61669633321*x       - we divide both sides of the equation by (603.61669633321) to get x
100/603.61669633321=x
0.16566804829533=x
x=0.16566804829533

now we have:
842.7 is 0.16566804829533% of 508667.79