778.43 is what percent of 43246 - 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 43246 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 43246, so we can write it down as 100%=43246.
4. We know, that x% equals 778.43 of the output value, so we can write it down as x%=778.43.
5. Now we have two simple equations:
1) 100%=43246
2) x%=778.43
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%=43246/778.43
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 778.43 is what percent of 43246

100%/x%=43246/778.43
(100/x)*x=(43246/778.43)*x       - we multiply both sides of the equation by x
100=55.555412818108*x       - we divide both sides of the equation by (55.555412818108) to get x
100/55.555412818108=x
1.8000046247052=x
x=1.8000046247052

now we have:
778.43 is 1.8000046247052% of 43246