42842.7 is what percent of 70000 - 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 70000 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 70000, so we can write it down as 100%=70000.
4. We know, that x% equals 42842.7 of the output value, so we can write it down as x%=42842.7.
5. Now we have two simple equations:
1) 100%=70000
2) x%=42842.7
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%=70000/42842.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42842.7 is what percent of 70000

100%/x%=70000/42842.7
(100/x)*x=(70000/42842.7)*x       - we multiply both sides of the equation by x
100=1.6338839522252*x       - we divide both sides of the equation by (1.6338839522252) to get x
100/1.6338839522252=x
61.203857142857=x
x=61.203857142857

now we have:
42842.7 is 61.203857142857% of 70000