81 is what percent of 782 - 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 782 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 782, so we can write it down as 100%=782.
4. We know, that x% equals 81 of the output value, so we can write it down as x%=81.
5. Now we have two simple equations:
1) 100%=782
2) x%=81
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%=782/81
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 81 is what percent of 782

100%/x%=782/81
(100/x)*x=(782/81)*x       - we multiply both sides of the equation by x
100=9.6543209876543*x       - we divide both sides of the equation by (9.6543209876543) to get x
100/9.6543209876543=x
10.358056265985=x
x=10.358056265985

now we have:
81 is 10.358056265985% of 782