43.1 is what percent of 759.88 - 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 759.88 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 759.88, so we can write it down as 100%=759.88.
4. We know, that x% equals 43.1 of the output value, so we can write it down as x%=43.1.
5. Now we have two simple equations:
1) 100%=759.88
2) x%=43.1
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%=759.88/43.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 43.1 is what percent of 759.88

100%/x%=759.88/43.1
(100/x)*x=(759.88/43.1)*x       - we multiply both sides of the equation by x
100=17.630626450116*x       - we divide both sides of the equation by (17.630626450116) to get x
100/17.630626450116=x
5.6719482023477=x
x=5.6719482023477

now we have:
43.1 is 5.6719482023477% of 759.88