39.3 is what percent of 45.7 - 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 45.7 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 45.7, so we can write it down as 100%=45.7.
4. We know, that x% equals 39.3 of the output value, so we can write it down as x%=39.3.
5. Now we have two simple equations:
1) 100%=45.7
2) x%=39.3
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%=45.7/39.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 39.3 is what percent of 45.7

100%/x%=45.7/39.3
(100/x)*x=(45.7/39.3)*x       - we multiply both sides of the equation by x
100=1.1628498727735*x       - we divide both sides of the equation by (1.1628498727735) to get x
100/1.1628498727735=x
85.995623632385=x
x=85.995623632385

now we have:
39.3 is 85.995623632385% of 45.7