60.98 is what percent of 500 - 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 500 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 500, so we can write it down as 100%=500.
4. We know, that x% equals 60.98 of the output value, so we can write it down as x%=60.98.
5. Now we have two simple equations:
1) 100%=500
2) x%=60.98
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%=500/60.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 60.98 is what percent of 500

100%/x%=500/60.98
(100/x)*x=(500/60.98)*x       - we multiply both sides of the equation by x
100=8.1994096425057*x       - we divide both sides of the equation by (8.1994096425057) to get x
100/8.1994096425057=x
12.196=x
x=12.196

now we have:
60.98 is 12.196% of 500