59.86 is what percent of 0.43 - 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 0.43 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 0.43, so we can write it down as 100%=0.43.
4. We know, that x% equals 59.86 of the output value, so we can write it down as x%=59.86.
5. Now we have two simple equations:
1) 100%=0.43
2) x%=59.86
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%=0.43/59.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 59.86 is what percent of 0.43

100%/x%=0.43/59.86
(100/x)*x=(0.43/59.86)*x       - we multiply both sides of the equation by x
100=0.0071834279986635*x       - we divide both sides of the equation by (0.0071834279986635) to get x
100/0.0071834279986635=x
13920.930232558=x
x=13920.930232558

now we have:
59.86 is 13920.930232558% of 0.43