78 is what percent of 856 - 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 856 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 856, so we can write it down as 100%=856.
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%=856
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%=856/78
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 856

100%/x%=856/78
(100/x)*x=(856/78)*x       - we multiply both sides of the equation by x
100=10.974358974359*x       - we divide both sides of the equation by (10.974358974359) to get x
100/10.974358974359=x
9.1121495327103=x
x=9.1121495327103

now we have:
78 is 9.1121495327103% of 856