59.8 is what percent of 964.5 - 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 964.5 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 964.5, so we can write it down as 100%=964.5.
4. We know, that x% equals 59.8 of the output value, so we can write it down as x%=59.8.
5. Now we have two simple equations:
1) 100%=964.5
2) x%=59.8
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%=964.5/59.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 59.8 is what percent of 964.5

100%/x%=964.5/59.8
(100/x)*x=(964.5/59.8)*x       - we multiply both sides of the equation by x
100=16.128762541806*x       - we divide both sides of the equation by (16.128762541806) to get x
100/16.128762541806=x
6.2001036806636=x
x=6.2001036806636

now we have:
59.8 is 6.2001036806636% of 964.5