172.67 is what percent of 35.42 - 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 35.42 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 35.42, so we can write it down as 100%=35.42.
4. We know, that x% equals 172.67 of the output value, so we can write it down as x%=172.67.
5. Now we have two simple equations:
1) 100%=35.42
2) x%=172.67
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%=35.42/172.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 172.67 is what percent of 35.42

100%/x%=35.42/172.67
(100/x)*x=(35.42/172.67)*x       - we multiply both sides of the equation by x
100=0.20513117507384*x       - we divide both sides of the equation by (0.20513117507384) to get x
100/0.20513117507384=x
487.49294184077=x
x=487.49294184077

now we have:
172.67 is 487.49294184077% of 35.42