60 is what percent of 9400 - 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 9400 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 9400, so we can write it down as 100%=9400.
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%=9400
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%=9400/60
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 9400

100%/x%=9400/60
(100/x)*x=(9400/60)*x       - we multiply both sides of the equation by x
100=156.66666666667*x       - we divide both sides of the equation by (156.66666666667) to get x
100/156.66666666667=x
0.63829787234043=x
x=0.63829787234043

now we have:
60 is 0.63829787234043% of 9400