1.02 is what percent of 157.9 - 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 157.9 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 157.9, so we can write it down as 100%=157.9.
4. We know, that x% equals 1.02 of the output value, so we can write it down as x%=1.02.
5. Now we have two simple equations:
1) 100%=157.9
2) x%=1.02
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%=157.9/1.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.02 is what percent of 157.9

100%/x%=157.9/1.02
(100/x)*x=(157.9/1.02)*x       - we multiply both sides of the equation by x
100=154.80392156863*x       - we divide both sides of the equation by (154.80392156863) to get x
100/154.80392156863=x
0.64597846738442=x
x=0.64597846738442

now we have:
1.02 is 0.64597846738442% of 157.9