35.31 is what percent of 569.5 - 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 569.5 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 569.5, so we can write it down as 100%=569.5.
4. We know, that x% equals 35.31 of the output value, so we can write it down as x%=35.31.
5. Now we have two simple equations:
1) 100%=569.5
2) x%=35.31
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%=569.5/35.31
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 35.31 is what percent of 569.5

100%/x%=569.5/35.31
(100/x)*x=(569.5/35.31)*x       - we multiply both sides of the equation by x
100=16.12857547437*x       - we divide both sides of the equation by (16.12857547437) to get x
100/16.12857547437=x
6.2001755926251=x
x=6.2001755926251

now we have:
35.31 is 6.2001755926251% of 569.5