30.62 is what percent of 700 - 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 700 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 700, so we can write it down as 100%=700.
4. We know, that x% equals 30.62 of the output value, so we can write it down as x%=30.62.
5. Now we have two simple equations:
1) 100%=700
2) x%=30.62
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%=700/30.62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 30.62 is what percent of 700

100%/x%=700/30.62
(100/x)*x=(700/30.62)*x       - we multiply both sides of the equation by x
100=22.860875244938*x       - we divide both sides of the equation by (22.860875244938) to get x
100/22.860875244938=x
4.3742857142857=x
x=4.3742857142857

now we have:
30.62 is 4.3742857142857% of 700