60 is what percent of 817 - 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 817 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 817, so we can write it down as 100%=817.
4. We know, that x% equals 60 of the output value, so we can write it down as x%=60.
5. Now we have two simple equations:
1) 100%=817
2) x%=60
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%=817/60
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 60 is what percent of 817

100%/x%=817/60
(100/x)*x=(817/60)*x       - we multiply both sides of the equation by x
100=13.616666666667*x       - we divide both sides of the equation by (13.616666666667) to get x
100/13.616666666667=x
7.34394124847=x
x=7.34394124847

now we have:
60 is 7.34394124847% of 817