64.9 is what percent of 155 - 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 155 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 155, so we can write it down as 100%=155.
4. We know, that x% equals 64.9 of the output value, so we can write it down as x%=64.9.
5. Now we have two simple equations:
1) 100%=155
2) x%=64.9
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%=155/64.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 64.9 is what percent of 155

100%/x%=155/64.9
(100/x)*x=(155/64.9)*x       - we multiply both sides of the equation by x
100=2.3882896764253*x       - we divide both sides of the equation by (2.3882896764253) to get x
100/2.3882896764253=x
41.870967741935=x
x=41.870967741935

now we have:
64.9 is 41.870967741935% of 155