10.35 is what percent of 164.78 - 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 164.78 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 164.78, so we can write it down as 100%=164.78.
4. We know, that x% equals 10.35 of the output value, so we can write it down as x%=10.35.
5. Now we have two simple equations:
1) 100%=164.78
2) x%=10.35
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%=164.78/10.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.35 is what percent of 164.78

100%/x%=164.78/10.35
(100/x)*x=(164.78/10.35)*x       - we multiply both sides of the equation by x
100=15.92077294686*x       - we divide both sides of the equation by (15.92077294686) to get x
100/15.92077294686=x
6.2811020754946=x
x=6.2811020754946

now we have:
10.35 is 6.2811020754946% of 164.78