70.02 is what percent of 98.74 - 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 98.74 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 98.74, so we can write it down as 100%=98.74.
4. We know, that x% equals 70.02 of the output value, so we can write it down as x%=70.02.
5. Now we have two simple equations:
1) 100%=98.74
2) x%=70.02
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%=98.74/70.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 70.02 is what percent of 98.74

100%/x%=98.74/70.02
(100/x)*x=(98.74/70.02)*x       - we multiply both sides of the equation by x
100=1.4101685232791*x       - we divide both sides of the equation by (1.4101685232791) to get x
100/1.4101685232791=x
70.913510228884=x
x=70.913510228884

now we have:
70.02 is 70.913510228884% of 98.74