64.98 is what percent of 179.97 - 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 179.97 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 179.97, so we can write it down as 100%=179.97.
4. We know, that x% equals 64.98 of the output value, so we can write it down as x%=64.98.
5. Now we have two simple equations:
1) 100%=179.97
2) x%=64.98
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%=179.97/64.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 64.98 is what percent of 179.97

100%/x%=179.97/64.98
(100/x)*x=(179.97/64.98)*x       - we multiply both sides of the equation by x
100=2.769621421976*x       - we divide both sides of the equation by (2.769621421976) to get x
100/2.769621421976=x
36.106017669612=x
x=36.106017669612

now we have:
64.98 is 36.106017669612% of 179.97