What is 79.71 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 150.7 is 100%, so we can write it down as 150.7=100%.
4. We know, that x is 79.71% of the output value, so we can write it down as x=79.71%.
5. Now we have two simple equations:
1) 150.7=100%
2) x=79.71%
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:
150.7/x=100%/79.71%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 79.71% of 150.7

150.7/x=100/79.71
(150.7/x)*x=(100/79.71)*x       - we multiply both sides of the equation by x
150.7=1.2545477355413*x       - we divide both sides of the equation by (1.2545477355413) to get x
150.7/1.2545477355413=x
120.12297=x
x=120.12297

now we have:
79.71% of 150.7=120.12297