147.1 is what percent of 413 - 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 413 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 413, so we can write it down as 100%=413.
4. We know, that x% equals 147.1 of the output value, so we can write it down as x%=147.1.
5. Now we have two simple equations:
1) 100%=413
2) x%=147.1
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%=413/147.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 147.1 is what percent of 413

100%/x%=413/147.1
(100/x)*x=(413/147.1)*x       - we multiply both sides of the equation by x
100=2.8076138681169*x       - we divide both sides of the equation by (2.8076138681169) to get x
100/2.8076138681169=x
35.617433414044=x
x=35.617433414044

now we have:
147.1 is 35.617433414044% of 413