8.7 is what percent of 1.475 - 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 1.475 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 1.475, so we can write it down as 100%=1.475.
4. We know, that x% equals 8.7 of the output value, so we can write it down as x%=8.7.
5. Now we have two simple equations:
1) 100%=1.475
2) x%=8.7
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%=1.475/8.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.7 is what percent of 1.475

100%/x%=1.475/8.7
(100/x)*x=(1.475/8.7)*x       - we multiply both sides of the equation by x
100=0.16954022988506*x       - we divide both sides of the equation by (0.16954022988506) to get x
100/0.16954022988506=x
589.83050847458=x
x=589.83050847458

now we have:
8.7 is 589.83050847458% of 1.475