7.02 is what percent of 67.6 - 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 67.6 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 67.6, so we can write it down as 100%=67.6.
4. We know, that x% equals 7.02 of the output value, so we can write it down as x%=7.02.
5. Now we have two simple equations:
1) 100%=67.6
2) x%=7.02
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%=67.6/7.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.02 is what percent of 67.6

100%/x%=67.6/7.02
(100/x)*x=(67.6/7.02)*x       - we multiply both sides of the equation by x
100=9.6296296296296*x       - we divide both sides of the equation by (9.6296296296296) to get x
100/9.6296296296296=x
10.384615384615=x
x=10.384615384615

now we have:
7.02 is 10.384615384615% of 67.6