78 is what percent of 26690 - 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 26690 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 26690, so we can write it down as 100%=26690.
4. We know, that x% equals 78 of the output value, so we can write it down as x%=78.
5. Now we have two simple equations:
1) 100%=26690
2) x%=78
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%=26690/78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 78 is what percent of 26690

100%/x%=26690/78
(100/x)*x=(26690/78)*x       - we multiply both sides of the equation by x
100=342.17948717949*x       - we divide both sides of the equation by (342.17948717949) to get x
100/342.17948717949=x
0.29224428624953=x
x=0.29224428624953

now we have:
78 is 0.29224428624953% of 26690