77 is what percent of 150.7 - 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 150.7 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 150.7, so we can write it down as 100%=150.7.
4. We know, that x% equals 77 of the output value, so we can write it down as x%=77.
5. Now we have two simple equations:
1) 100%=150.7
2) x%=77
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%=150.7/77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 77 is what percent of 150.7

100%/x%=150.7/77
(100/x)*x=(150.7/77)*x       - we multiply both sides of the equation by x
100=1.9571428571429*x       - we divide both sides of the equation by (1.9571428571429) to get x
100/1.9571428571429=x
51.094890510949=x
x=51.094890510949

now we have:
77 is 51.094890510949% of 150.7