73 is what percent of 156.7 - 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 156.7 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 156.7, so we can write it down as 100%=156.7.
4. We know, that x% equals 73 of the output value, so we can write it down as x%=73.
5. Now we have two simple equations:
1) 100%=156.7
2) x%=73
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%=156.7/73
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 73 is what percent of 156.7

100%/x%=156.7/73
(100/x)*x=(156.7/73)*x       - we multiply both sides of the equation by x
100=2.1465753424658*x       - we divide both sides of the equation by (2.1465753424658) to get x
100/2.1465753424658=x
46.585832801532=x
x=46.585832801532

now we have:
73 is 46.585832801532% of 156.7