35.25 is what percent of 6.32 - 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 6.32 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 6.32, so we can write it down as 100%=6.32.
4. We know, that x% equals 35.25 of the output value, so we can write it down as x%=35.25.
5. Now we have two simple equations:
1) 100%=6.32
2) x%=35.25
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%=6.32/35.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 35.25 is what percent of 6.32

100%/x%=6.32/35.25
(100/x)*x=(6.32/35.25)*x       - we multiply both sides of the equation by x
100=0.17929078014184*x       - we divide both sides of the equation by (0.17929078014184) to get x
100/0.17929078014184=x
557.75316455696=x
x=557.75316455696

now we have:
35.25 is 557.75316455696% of 6.32