147.65 is what percent of 175.95 - 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 175.95 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 175.95, so we can write it down as 100%=175.95.
4. We know, that x% equals 147.65 of the output value, so we can write it down as x%=147.65.
5. Now we have two simple equations:
1) 100%=175.95
2) x%=147.65
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%=175.95/147.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 147.65 is what percent of 175.95

100%/x%=175.95/147.65
(100/x)*x=(175.95/147.65)*x       - we multiply both sides of the equation by x
100=1.1916694886556*x       - we divide both sides of the equation by (1.1916694886556) to get x
100/1.1916694886556=x
83.915885194658=x
x=83.915885194658

now we have:
147.65 is 83.915885194658% of 175.95