64 is what percent of 158.98 - 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 158.98 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 158.98, so we can write it down as 100%=158.98.
4. We know, that x% equals 64 of the output value, so we can write it down as x%=64.
5. Now we have two simple equations:
1) 100%=158.98
2) x%=64
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%=158.98/64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 64 is what percent of 158.98

100%/x%=158.98/64
(100/x)*x=(158.98/64)*x       - we multiply both sides of the equation by x
100=2.4840625*x       - we divide both sides of the equation by (2.4840625) to get x
100/2.4840625=x
40.25663605485=x
x=40.25663605485

now we have:
64 is 40.25663605485% of 158.98