45.7 is what percent of 86.8 - 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 86.8 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 86.8, so we can write it down as 100%=86.8.
4. We know, that x% equals 45.7 of the output value, so we can write it down as x%=45.7.
5. Now we have two simple equations:
1) 100%=86.8
2) x%=45.7
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%=86.8/45.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45.7 is what percent of 86.8

100%/x%=86.8/45.7
(100/x)*x=(86.8/45.7)*x       - we multiply both sides of the equation by x
100=1.8993435448578*x       - we divide both sides of the equation by (1.8993435448578) to get x
100/1.8993435448578=x
52.649769585253=x
x=52.649769585253

now we have:
45.7 is 52.649769585253% of 86.8