35.35 is what percent of 167.35 - 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 167.35 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 167.35, so we can write it down as 100%=167.35.
4. We know, that x% equals 35.35 of the output value, so we can write it down as x%=35.35.
5. Now we have two simple equations:
1) 100%=167.35
2) x%=35.35
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%=167.35/35.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 35.35 is what percent of 167.35

100%/x%=167.35/35.35
(100/x)*x=(167.35/35.35)*x       - we multiply both sides of the equation by x
100=4.7340876944837*x       - we divide both sides of the equation by (4.7340876944837) to get x
100/4.7340876944837=x
21.123394084255=x
x=21.123394084255

now we have:
35.35 is 21.123394084255% of 167.35