60 is what percent of 34.94 - 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 34.94 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 34.94, so we can write it down as 100%=34.94.
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%=34.94
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%=34.94/60
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 34.94

100%/x%=34.94/60
(100/x)*x=(34.94/60)*x       - we multiply both sides of the equation by x
100=0.58233333333333*x       - we divide both sides of the equation by (0.58233333333333) to get x
100/0.58233333333333=x
171.7229536348=x
x=171.7229536348

now we have:
60 is 171.7229536348% of 34.94