0.43 is what percent of 7.07 - 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 7.07 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 7.07, so we can write it down as 100%=7.07.
4. We know, that x% equals 0.43 of the output value, so we can write it down as x%=0.43.
5. Now we have two simple equations:
1) 100%=7.07
2) x%=0.43
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%=7.07/0.43
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.43 is what percent of 7.07

100%/x%=7.07/0.43
(100/x)*x=(7.07/0.43)*x       - we multiply both sides of the equation by x
100=16.441860465116*x       - we divide both sides of the equation by (16.441860465116) to get x
100/16.441860465116=x
6.0820367751061=x
x=6.0820367751061

now we have:
0.43 is 6.0820367751061% of 7.07