70 is what percent of 7.123 - 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 7.123 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 7.123, so we can write it down as 100%=7.123.
4. We know, that x% equals 70 of the output value, so we can write it down as x%=70.
5. Now we have two simple equations:
1) 100%=7.123
2) x%=70
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%=7.123/70
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 70 is what percent of 7.123

100%/x%=7.123/70
(100/x)*x=(7.123/70)*x       - we multiply both sides of the equation by x
100=0.10175714285714*x       - we divide both sides of the equation by (0.10175714285714) to get x
100/0.10175714285714=x
982.73199494595=x
x=982.73199494595

now we have:
70 is 982.73199494595% of 7.123