46.24 is what percent of 64.99 - 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 64.99 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 64.99, so we can write it down as 100%=64.99.
4. We know, that x% equals 46.24 of the output value, so we can write it down as x%=46.24.
5. Now we have two simple equations:
1) 100%=64.99
2) x%=46.24
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%=64.99/46.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 46.24 is what percent of 64.99

100%/x%=64.99/46.24
(100/x)*x=(64.99/46.24)*x       - we multiply both sides of the equation by x
100=1.4054930795848*x       - we divide both sides of the equation by (1.4054930795848) to get x
100/1.4054930795848=x
71.149407601169=x
x=71.149407601169

now we have:
46.24 is 71.149407601169% of 64.99