2805.88 is what percent of 3999.99 - 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 3999.99 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 3999.99, so we can write it down as 100%=3999.99.
4. We know, that x% equals 2805.88 of the output value, so we can write it down as x%=2805.88.
5. Now we have two simple equations:
1) 100%=3999.99
2) x%=2805.88
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%=3999.99/2805.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2805.88 is what percent of 3999.99

100%/x%=3999.99/2805.88
(100/x)*x=(3999.99/2805.88)*x       - we multiply both sides of the equation by x
100=1.4255741514249*x       - we divide both sides of the equation by (1.4255741514249) to get x
100/1.4255741514249=x
70.147175367938=x
x=70.147175367938

now we have:
2805.88 is 70.147175367938% of 3999.99